just as a traffic light turns green, a waiting car starts off with a constant acceleration of 6.0 m/s2 . at the instant the car begins to accelerate, a truck with a constant velocity of 21 m/s passes in the next lane. (a) how far will the car travel before it overtakes the truck? (b) how fast will the car be traveling when it overtakes the truck?

Answers

Answer 1

(a) The car travels a distance of 147 m before it overtakes the truck.

(b) At the moment when car overtakes the truck, the speed of car was 21 m/s

Let us assume that the time taken by the car to overtake the truck = t seconds

Now calculating the distance travelled by car and truck during this time,

Using the kinematic equation for calculating the distance travelled by car and the truck:

The distance travelled can be computed by the relationship [tex]s= 0.5at^2[/tex]

Distance travelled by car will be [tex]S_{car} =0.5 \times 6\times t^2=3t^2 \:m[/tex]

Distance travelled by truck will be [tex]S_{truck}=21 \times t = 21t \:m[/tex]

At the instant of overtaking

Distance travelled by car = Distance travelled by truck

[tex]3t^2 = 21t\Rightarrow t = \frac{21t}{3t}=7\:sec.[/tex]

So, the distance travelled by car before it overtakes will be 3*7*7 = 147 m

(b) As Car have crossed the truck in 7 sec. after covering a distance of 147 m.

So, at the moment of overtaking the truck the speed of the car will be = 147/7 = 21/s

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Related Questions

plzzz helpp
A 5 kg ball is sitting on top of a hill. It has a Potential Energy of 6000J. What is the height of the ball?​

Answers

Answer:

h = 122.44 m

Explanation:

Given that,

Mass of a ball, m = 5 kg

Potential energy at the top of the hill, E = 6000 J

We need to find the height of the hill. The formula for the potential energy is given by :

[tex]P=mgh\\\\h=\dfrac{P}{mg}\\\\h=\dfrac{6000}{5\times 9.8}\\\\h=122.44\ m[/tex]

So, the height is 122.44 m.

An electrical device in which a long wire is wound into a succession of closely spaced loops around a n insulating core is called a:
Circuit
Motor
Battery
Solenoid

Answers

Answer:

Solenoid I think.

Explanation:

Is telekinesis real??? I really wanna start learning it!

Answers

Answer:

if you only have to control your chakra and know how to get all your vibes to pass it to objects and it takes time to practice

9.) This 200 kg
stag that weighs
1,960 N on earth
would only weigh
324 N on the
moon. Calculate the moon's
acceleration due to gravity.

Answers

Answer:

Mass on moon = 33.06 kg

Explanation:

Given the following data;

Mass on earth = 200 kg

Weight on earth = 1960 N

Weight on moon = 324 N

To find the mass on moon;

First of all, we would determine the acceleration due to gravity.

Weight = mass * acceleration due to gravity

1960 = 200 * g

g = 1960/200

g = 9.8 m/s²

Next, we find the mass on moon;

Mass on moon = weight on moon/acceleration due to gravity

Mass on moon = 324/9.8

Mass on moon = 33.06 kg

A 5 kg ball is sitting on top of a hill. It has a Potential Energy of 6000J. What is the height of the ball?​

Answers

Explanation:

mass=5 kg

potential energy=6000j

height=?

Now

potential energy =m.g.h

or 6000=5*9.8*h

or 6000=49h

or 6000÷49=h

or h= 122.45m

What is the amplitude of the resulting wave when the two waves meet at point X?

Answers

A = 0 cm .............

Explain why the "X" chromosome expresses more traits than the "y" chromosome.


Please answer :( I have a lot of homework to do today! If it’s good I’ll mark b. Links or st————-upidity will get reported! Please help:3

Answers

Explanation:

The X chromosome (females have 2 of them while males have 1) is five times larger than the Y chromosome and has 10 times the number of genes.

A 20-gram bullet traveling at 250 m/s strikes a block of wood that weighs 2 kg. With what velocity will the block and bullet move after the collision? [convert g to kg]

Answers

Answer:

the velocity of the bullet-wood system after the collision is 2.48 m/s

Explanation:

Given;

mass of the bullet, m₀ = 20 g = 0.02 kg

velocity of the bullet, v₀ = 250 m/s

mass of the wood, m₁ = 2 kg

velocity of the wood, v₁ = 0

Let the velocity of the bullet-wood system after collision = v

Apply the principle of conservation of linear momentum to calculate the final velocity of the system;

Initial momentum = final momentum

m₀v₀ + m₁v₁ = v(m₀ + m₁)

0.02 x 250  + 2 x 0    =    v(2  + 0.02)

5 + 0 = v(2.02)

5 = 2.02v

v = 5/2.02

v = 2.48 m/s

Therefore, the velocity of the bullet-wood system after the collision is 2.48 m/s

which two options are examples of waves refracting?

Answers

a and b!
hope this helps!

Answer: A & B

Explanation:

Took The test

It took Grant 6 hours and 15 minutes to go 380 miles from Connecticut to Central Maine. What was his average speed?
63.3 mph
60.8 mph
60.8 km/h
58.46 mph

Answers

Total distance travelled=6 hrs 15 minutes

Convert minutes in hour15 minutes= [tex] \frac{1}{4} hrs[/tex] Total time= [tex] 6+\frac{1}{4} = \frac{25}{4} hrs[/tex]

Total distance=380 miles

[tex] Speed_{avg}=\frac{Total distance} {Total time} \\\\ \to \frac{380 miles}{\frac{25}{4}hrs} \\\\ \to \frac{380 \times 4} {25} \\\\ \to \frac{1520}{25} \\\\ \to 60.8 mph [/tex]

Answer: 60.8mph

Does the eruption from a volcano represent force

Answers

Answer:

Yes, because of the force of gas exploding the volcano from pressure is a force.

In the early universe and now, stars most likely formed from which of the following?

Group of answer choices

Nebulas

Planets

Comets

Asteroids

Answers

Nebulas, because nebulas contain the gas needed to form a star and comets/planets/ asteroids are rocks not gas

Answer:

Nebulas

Explanation:

Nebulae are made of dust and gases—mostly hydrogen and helium. ... Eventually, the clump of dust and gas gets so big that it collapses from its own gravity. The collapse causes the material at the center of the cloud to heat up-and this hot core is the beginning of a star.

How are the surface of Mercury and Mars similar to the surface of the Earth?

Answers

Answer:

The terrestrial planets all have rocky surfaces that feature mountains, plains, valleys and other formations. ... Mars has very low atmospheric pressure, and Mercury has almost none, so craters are more common on these planets.

Explanation:

In a series circuit, all ____
travels through each device.

A. voltage
B. current
C. energy
D. power​

Answers

the answer is C as in cat

PLEASE ANSWER THIS ASAP I WILL MARK YOU THE BRAINLIEST The actual subject is Science but they dont have that as a option in pick a subject

Answers

Explanation:

speed : • how fast an object changes position

• miles per hour.

• distance/time.

velocity: • speed in a direction

• miles per hour North

• distance/ time in a direction

Can someone list me 6 disadvantages of renewable energy?

Answers

1. Can be very expensive
2. It can still generate pollution
3. Lack of knowledge on how to even harness these forms of energy
4. Can be hard to generate the quantities of electricity
5. Takes a lot of space to install
6. Fluctuation problems (solar)

change 60cmHg to Pascal​

Answers

Answer:

7980Pa

Explanation:

1cmHg = 133Pa

60cmHg = 7980Pa


What net force would be required for a 50.5 kg wolf to accelerate at 5.0 m/s^2

Answers

Answer:

[tex]\boxed {\boxed {\sf 252.5 \ Newtons }}[/tex]

Explanation:

Force is the push or pull on object that can cause different things, like acceleration. According to Newton's 2nd Law of Motion, it is the product of mass and acceleration.

[tex]F=m*a[/tex]

The mass of the wolf is 50.5 kilograms and the acceleration is 5.0 meters per square second. Therefore:

[tex]m= 50.5 \ kg[/tex][tex]a= 5.0 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]F= 50.5 \ kg * 5.0 \ m/s^2[/tex]

Multiply.

[tex]F=252.5 \ kg*m/s^2[/tex]

1 kilogram meter per square second is equal to 1 Newton. Our answer of 252.5 kg*m/s² is equal to 252.5 Newtons.

[tex]F= 252.5 \ N[/tex]

The force required is 252.5 Newtons.

Derived and define the units​

Answers

dont click on the link its a scam btw

The magnitude of the gravitational acceleration at the surface of a planet of mass M and radius R is g. What is the magnitude of the gravitational acceleration at the surface of a planet of mass 2M and radius 2R?​

Answers

2M/4R2=.5M/R2= .0.5 g

Describe how Alfred Wegener and Harry Hess contributed to the theory of Plate Tectonics.

8th Science

Answers

Answer:Dr. Hess' most significant contribution to the plate tectonic theory began in 1945 when he was the commander of the U.S.S. ... In the paper Hess described how hot magma would rise from under the crust at the Great Global Rift. When the magma cooled, it would expand and push the tectonic plates apart.

Explanation:

Explanation:

Alfred Wegener produced evidence in 1912 that the continents are in motion, but because he could not explain what forces could move them, geologists rejected his ideas. Almost 50 years later Harry Hess confirmed Wegener's ideas by using the evidence of seafloor spreading to explain what moved continents.

Plate tectonic theory had its beginnings in 1915 when Alfred Wegener proposed his theory of "continental drift." Wegener proposed that the continents plowed through the crust of ocean basins, which would explain why the outlines of many coastlines (like South America and Africa) look like they fit together like a puzzle.

convert 172 to a scientific notation

Answers

Answer:

1.72×10^2

Explanation:

Is the answer correct ?

172 in scientific notation is 1.72 × 10^2

Please help answer both of these !! I’m in a rush :(((

Answers

Answer: search it on browser

A baseball sits motionless near first base on a baseball diamond. What statement best explains why the baseball remains motionless?

A. The forces acting on the baseball are all balanced.
B. There are no forces acting on the baseball.
C. The dirt is placing an unbalanced force on the baseball.
D. The force on the baseball is unbalanced due to gravity.

Answers

Answer:

B

Explanation:

There are no forces acting in the baseball

Two cars have the same weight, but one of the cars has an engine that provides twice the power of the other. Which car can make it to the top of the mountain pass first? Which car does more work to reach the pass?

Answers

Answer:

The car with the better engine will make it to the mountain pass first but the car that works harder will be the car with the worse engine

Explanation:

Just like if a average kid were to pick up a 25 pound weight it would be harder compared to a body builder.

Answer:

twice the power reach the top!!1

Explanation:

twice

not

once

twoce

always

nice


What type of circuit is pictured?
O Parallel Circuit
Series Circuit

Answers

Answer:

Parallel Circuit

Explanation:

Check the image below

in series circuits currents can only flow in one direction

In parallel circuits currents can flow  through more than one path

Because the circuit shown has two pathways it is considered a parallel circuit

Answer:

Parallel Circuit

Explanation:

Hope this helps

Distance time graphs

Answers

Answer:

A distance-time graph shows how far an object has travelled in a given time. It is a simple line graph that denotes distance versus time findings on the graph. Distance is plotted on the Y-axis. Time is plotted on the X-axis

Explanation:

The hours of daylight and night time are equal during ______________.


an eclipse


a new moon


an equinox


a solstice

Answers

Answer:

The answer is 'an equinox'.

What is a group on the periodic table?

Answers

Answer:

A group is a column (vertical, up and down)

Explanation:

A group is vertical and a period is horizontal!

Hope i helped you

Have a great day!

Answer:

A group is a row that goes up and down. (Its vertical)

Explanation:

I do A P E X.

A car drives for 50 seconds and travels 2 meters what is its velocity

Answers

Speed = (distance) / (time)

Speed = (2 m) / (50 s)

Speed = 0.04 m/s

There's not enough information to state the car's velocity. We don't know anything about the direction it moved.

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