Uniform Acceleration

Q.

A ball is thrown upwards with a velocity of 10 m/s. Find the maximum height reached by the ball.
Assume acceleration due to gravity $g=10m/s^2$.

1. 13 m

2. 5 m

3. 15 m

4. 16 m

Q.

An athlete starts running from rest. He accelerates uniformly and completes $100m$ race in $10s$. Find his acceleration.

Q. A car starts from rest and moves with an acceleration $4m/s^2$. Find the speed after $6$ seconds?

1. $8m/s$
2. $16m/s$
3. $24m/s$
4. $32m/s$

Q.

If a body is thrown up with an initial velocity $u$ and covers a maximum height of $h$, then $h$ is equal to $\frac{u^2}{2g}$. [$g$ is the acceleration due to gravity]

1. u²/2g

2. u/2g

Q.

The velocity-time graph of a body with constant acceleration is:

1. parabola

2. hyperbola

3. circle

4. straight line

Q.

Explain velocity with example.

Q. An electron has a constant acceleration of $3.2m/s^2$. At a certain instant its velocity is $9.6m/s$. What is its velocity $2.5$ second earlier.

1. $1.6m/s$
2. $3.2m/s$
3. $0.8m/s$
4. $4.8m/s$

Q. A ball is thrown with an initial velocity of $20m{s}^{-1}$. Find the time of flight by the body. (Take $g=10m{s}^{-2}$)

1. $5s$
2. $6s$
3. $4s$
4. $7s$

Q.

A ball is thrown with an initial velocity of 20 m/s. Find the time of flight and the maximum height reached by the body.
(Assume acceleration due to gravity $g=10m/s^2$.

1. 5 s and 25 m

2. 4 s and 20 m

3. 6 s and 36 m

4. 7 s and 49 m

Q.

A car approaching a school zone slows down from $27m/s$ to $9m/s$ with constant acceleration $-2m/s^2$. How much time is required to slow down to final velocity?

1. $3s$
2. $6s$
3. $9s$

4. $12s$

Q.

In the given velocity-time graph, AB shows that the body has:

1. uniform acceleration

2. non-uniform retardation

3. uniform speed

4. intitial velocity v and is moving with uniform retardation

Q. A man running with a uniform speed ‘u’ on a straight road observes a stationary bus at a distance ‘d’ ahead of him. At that instant, the bus starts with an acceleration ‘a’. The condition that he would be able to catch the bus is

1. $d\le \frac{u^2}{a}$
2. $d\le \frac{u^2}{2a}$
3. $d\le \frac{u^2}{3a}$
4. $d\le \frac{u^2}{4a}$

Q.

When the slope of v–t graph is negative and constant, what is the nature of acceleration?

1. Variable Deceleration
2. Variable Acceleration
3. Constant Acceleration

4. Constant Deceleration