The Equations of Motion

Q.

A car starting from rest picks up a velocity of 15m/s in 20 seconds. find the acceleration of the car.

Q.

Brakes are applied to a truck to produce an acceleration of $–10m/s^2$ . If the truck takes $5s$ to stop after applying the brakes, the distance covered by the truck before coming to rest is $250m$.

1. 200 m

2. 125 m

Q.

A block is sliding down on an inclined plane. The velocity changes at a constant rate from $10cm/s$ to $15cm/s$ in $2seconds$. What is its acceleration?

1. 2.5 cm/s²

2. 1.5 cm/s²

3. 4.5 cm/s²

4. 1.25 cm/s²

Q. A bus starting from rest moves with a uniform acceleration of $0.1m{s}^{-2}$ for 2 minutes. Find its speed after 2 minutes.

1. 10
2. 12
3. 13
4. 15

Q.

A baseball is popped straight up into the air and has a hang-time of 6 s. Determine the maximum height to which the ball rises?

1. 180 m

2. 90 m

3. 45 m

4. 22.5 m

Q. A wooden block of mass 10 g is dropped from the top of a cliff 100 m high. Simultaneously, a bullet of mass 10 g is fired from the foot of the cliff in the upward direction with a velocity of $100m{s}^{-1}$. At what time will the bullet and the block meet ?

1. 1s
2. 4s
3. 3s
4. 2s

Q.

A racing car has a uniform acceleration of 40 $m/s^2$. How much distance does it cover in 10s after the start?

1. 1200m

2. 1150m

3. 1000m

4. 2000m

Q. A particle A is moving with a speed of 10 m/s towards right and another particle B is moving at speed of 12 m/s towards left. Find their velocity of approach.

1. 15 m/s
2. 65 m/s
3. 40 m/s
4. 22 m/s

Q. Q7. A car moving on a straight road is an example of​:

Q.

Average velocity of a particle moving in a straight line, with constant acceleration $a$ and initial velocity $u$ in the first $t$ seconds is :

1. u

2. u + at

3. u + (at/2)

4. (u + at)/2

Q.

A coin is thrown vertically upward with a velocity of $5m/s$. If the acceleration of the coin during its motion is $10m/s^2$ in the downward direction, what will be the maximum height attained by the coin and how much time will it take to reach there?

1. S = 1.5 m, t = 0.25 s

2. S = 0.25 m, t = 1.5 s

3. S = 1.25 m, t = 0.75 s

4. S = 1.25 m, t = 0.5 s

Q. A child drops a toy from the top of a building, it takes 1 s to reach the ground. Find the height of the building and the average speed of the toy respectively.
(Take g = $10m{s}^{-2}$)

1. $5mand5m{s}^{-1}$
2. $6mand6m{s}^{-1}$
3. $7mand7m{s}^{-1}$
4. $4mand5m{s}^{-1}$

Q.

Brakes are applied to a truck to produce an acceleration of $–10m/s^2$​. If the truck takes $5s$ to stop after applying the brakes, the distance covered by the truck before coming to rest is $250m$.

1. 200 m

2. 125 m

Q. A ball is thrown upwards with a velocity of $10m{s}^{-1}$. Find the maximum height reached by the ball.

1. $13m$
2. $15m$
3. $16m$
4. $5m$

Q. Calculate the force required to accelerate a car from rest to a velocity of $30m{s}^{-1}$ in $10seconds$. The mass of the car is $1500kg$.