Equation of Motion

Q.

A body A is projected upwards with a velocity of $98m{s}^{-1}$. After 4 seconds, a second body B is projected upwards with the same velocity. Both the bodies will meet after

1. 10 s

2. 12 s

3. 16 s

4. 14 s

Q. A car moving with initial velocity of $10m{s}^{-1}$ attains a speed, v in 5 seconds. The car travels a distance of 100 m. Find v.

1. $10m{s}^{-1}$
2. $20m{s}^{-1}$
3. $30m{s}^{-1}$
4. $40m{s}^{-1}$

Q.

A stone is dropped into a deep well and is heard to hit the water 2 s after being dropped. Determine the depth of the well assuming no time delay in stone hitting the water and sound being heard. Take acceleration due to gravity a= 10 $m{s}^{-2}$.

1. 10 m

2. 20 m

3. 30 m

4. 40 m

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

Q.

A plane has a take-off speed of 120 $m{s}^{-1}$ and it reaches that speed after covering 2400 m. Determine the acceleration of the plane (assuming it to be constant) and the time required to reach this speed?

1. a = 4 $m{s}^{-2}$, t = 30 s

2. a = 3$m{s}^{-2}$, t = 30 s

3. a = 4 $m{s}^{-2}$, t = 40 s

4. a = 3 $m{s}^{-2}$, t = 40 s

Q.

Starting from rest at the top of an inclined plane a body reaches the bottom of the inclined plane in 4 seconds. At what time does the body cover one-fourth of the distance starting from the rest at the top?

1. 1 second

2. 2 second

3. 3 second

4. 4 second

Q. A tv tower is 40m high.A mass of $5kg$ is dropped from its top . calculate the potential energy at the top and kinetic energy just before it hits the ground $($take $g=10m/s^2)$

1. Each is $1000$ joule
2. Each is $2000$ joule
3. Each is $3000$ joule
4. Each is $500$ joule

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 upward with a velocity of $100m{s}^{-1}$. At what time will the bullet and the block meet ? Take g= $9.8m{s}^{-2}$.

1. 4 s

2. 3 s

3. 2 s

4. 1 s

Q.

A body has an initial velocity of 4 $m{s}^{-1}$ and deceleration of 4 $m{s}^{-2}$, then what is its final velocity after traveling 2m?

1. 4 $m{s}^{-1}$

2. 0 $m{s}^{-1}$

3. 5.656 $m{s}^{-1}$

4. 2 $m{s}^{-1}$

Q. A fruit is dropped from a height of 20 m. Find the velocity with which it would hit the ground.

1. $50m{s}^{-1}$
2. $40m{s}^{-1}$
3. $20m{s}^{-1}$
4. $30m{s}^{-1}$

Q.

A stone is dropped from a cliff. Find its speed after the stone has fallen from 100 m. (Take $g=9.8m{s}^{-2}$).

1. $9.8m{s}^{-1}$

2. $19.6m{s}^{-1}$

3. $44.2m{s}^{-1}$

4. $24m{s}^{-1}$

Q.

Starting from rest at the top of an inclined plane a body reaches the bottom in 4 seconds. In what time does the body cover one-fourth the distance starting from the top?

1. 2 s

2. 1 s

3. 4 s

4. 3 s