# 2nd Equation of Motion

## Trending Questions

**Q.**

A bus starting from rest moves with a uniform acceleration of $0.1m/{s}^{2}$ for $2mins$. Find

- the speed acquired,
- the distance traveled.

**Q.**

A trolley, while going down an inclined plane, has an acceleration of $2cm{s}^{-2}$. What will be its velocity $3s$ after the start?

**Q.**Calculate the total electric flux linked with a circular disc of radius a is situated at distance R from a point charge q

**Q.**

Two trains A and B of length 400 m each are moving on two parallel tracks with a uniform speed of 72 kmh−1 in the same direction, with A ahead of B. The driver of B decides to overtake A and accelerates by 1 m/s2. If after 50 s, the guard of B just brushes past the driver of A, what was the original distance between them?

**Q.**

Show that path of projectile is parabola?

**Q.**

A particle travels 10m in first 5sec and 10m in next 3sec . Assuming constant acceleration what is the distance travelled in next 2sec.

- 10.3 m
- 9.3 m
- None of above
- 8.3 m

**Q.**

A particle experiences constant acceleration for 20 seconds after starting from rest. If it travels a distance s1 in the first 10 seconds and distance s2 in the next 10 seconds, then

- s2=s1
- s2=2s1
- s2=3s1
- s2=4s1

**Q.**A car starts moving along a line, first with acceleration a=5 ms2 starting from rest, then uniformly, and finally decelerating at the same rate a to come to rest. The total time of motion is 25 s. The average speed during the time is 20 ms. How long does the particle move uniformly?

**Q.**A quarter ring of radius is having uniform charge density.Find the electric field and potential at the centre of ring.

**Q.**

A particle moving with a uniform acceleration travels $24m$ and $64m$ in the first two consecutive intervals of $4s$ each. Its initial velocity will be.

$5\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$

$3\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$

$4\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$

$1\raisebox{1ex}{$m$}\!\left/ \!\raisebox{-1ex}{$s$}\right.$

**Q.**A particle starts from rest, accelerates at 2 m/s2 for 10s and then goes for constant speed for 30s and then decelerates at 2 m/s2 till it stops. What is the distance travelled by it

- 800 m
- 750 m
- 700 m
- 850 m

**Q.**A ball is released from the top of a tower of height h metres. It takes T seconds to reach the ground. What is the position of the ball at T/3 second?

**Q.**A car starts from rest and moves with uniform acceleration a on a straight road from time t = 0 to t = T. After that, a constant deceleration brings it to rest. In this process the average speed of the car is

**Q.**

In the third second, the distance traveled by a particle starting from rest and traveling with an acceleration of $4/3{\mathrm{ms}}^{-2}$ is

$\left(\frac{10}{3}\right)m$

$\left(\frac{19}{3}\right)m$

$6m$

$4m$

**Q.**The velocity of a bullet is reduced from 200 m/s to 100 m/s while travelling through a wooden block of thickness 10 cm. The retardation, assuming it to be uniform, will be

- 10×104 m/s2
- 12×104 m/s2
- 13.5×104 m/s2
- 15×104 m/s2

**Q.**

The motion of a particle along a straight line is described by equation x=8+12t -t^{3 , }^{}, where x is in metre and t is in second. What is the retardation of the particle when its velocity becomes zero

**Q.**prove that time of ascent = time of decent

**Q.**

A ball is thrown vertically upwards attains a maximum height of 45m. What is the time after which velocity of the ball become equal to half the velocity of projection?

**Q.**A particle starts with an initial velocity 2.5 m/s along the positive x− direction and it accelerates uniformly at the rate 0.50 m/s2. The distance travelled by the particle in first two seconds will be

- 5 m
- 1 m
- 6 m
- 4 m

**Q.**A car starts from rest and moves with uniform acceleration a on a straight road from time t=0 to t=T . After that, a constant deceleration brings it to rest. In this process the average speed of the car is

**Q.**A body starts from rest and is uniformly accelerated for 30 s. The distance travelled in the first 10 s is x1, next 10 s is x2 and the last 10 s is x3. Then x1:x2:x3 is the same as

- 1:2:4
- 1:2:5
- 1:3:5
- 1:3:9

**Q.**

Let m1=1kg m2=2kg and m3=3 kg in figure.

Find the accelerations of m1, m2, and m3. The string from the upper pulley to m1 is 20 cm when the system is released from rest. How long will it take before m1 strikes the pulley ?

**Q.**The engine of a motorcycle can produce a maximum acceleration 5 m/s2 . Its brakes can produce a maximum retardation 10 m/s2. What is the minimum time in which it can cover a distance of 1.5 km

- 30 sec
- 15 sec
- 10 sec
- 5 sec

**Q.**A body covers 200 cm in the first 2 seconds and 220 cm in the next 4 seconds. The velocity of the body at the end of the 7th second is

- 10 cm/s
- 20 cm/s
- 5 cm/s
- 30 cm/s

**Q.**A body starts from rest with acceleration 2 m/s2 till it attains the maximum velocity, then retards to rest with 3 m/s2. If total time taken is 10 seconds then maximum speed attained is

- 8 m/s
- 6 m/s
- 4 m/s
- 12 m/s

**Q.**A body is moving with uniform acceleration describes 40 m in the first 5 sec and 65 m in next 5 sec. Its initial velocity will be

- 2.5 m/s
- 5.5 m/s
- 11 m/s
- 4 m/s

**Q.**A particle is projected from horizontal making an angle 60∘ with initial velocity 40 m/s. Find the time taken to the particle to make angle 45∘ from horizontal.

- 2.5s
- 3.5s
- 1.5s
- 4.5s

**Q.**A particle of mass m and charge −q is projected from the origin with a horizontal speed v into a space having electric field of magnitude E directed downwards as shown in the figure. If the effect due to gravity can be neglected, then choose the correct statement(s) among the following.

- The kinetic energy after a displacement y is qEy
- The horizontal and vertical components of acceleration are ax=0, ay=qEm
- The equation of trajectory is y=12(qE2xmv2)
- The horizontal and vertical displacements x and y after a time t are x=vt and y=12ayt2

**Q.**A body starting from rest moves with constant acceleration. The ratio of distance covered by the body during the 5th sec to that covered in 5 sec is

- 9/25
- 3/5
- 25/9
- 1/25

**Q.**Two cars A and B are moving towards each other on a straight road with velocity 10 m/sec. and 12 m/sec. respectively. When they are 160 m apart, each car decelerates at 2 m/sec2 until they stop in order to avoid collision. Calculate the distance (in m) between them when they come to rest.