# First Equation of Motion

## Trending Questions

**Q.**

A train starting from rest attains a velocity of 72 km/h in 5 minutes. Assuming that the acceleration is uniform, find the acceleration and the distance travelled by train for attaining this velocity.

2 m/s

^{2}, 15 km3 m/s

^{2}, 1/15 km1/15 m/s

^{2}, 3 km4.5 m/s

^{2}, 2 km

**Q.**

Derive an equation v=u+at .

**Q.**

A particle moving with an initial velocity of 5 m/s is subjected to a uniform acceleration of -2.5 m/s2 . find the displacement in the next 4 seconds.

**Q.**

By walking at 34 th of his usual speed, a man reaches office 20 minutes later than usual. How much time does he usually take?

30 min

60 min

70 min

50 min

**Q.**

A bullet moving with 10 m/s hits a wooden plank. The bullet stops after penetrating the plank 2 cm deep. Calculate the retardation of the bullet.

**Q.**

A body moving with a constant acceleration travels 3 m and 8 m respectively in 1 s and 2 s. Calculate-

1 initial velocity and

2 the acceleration of the body

**Q.**A bus driver applies the brakes and slows down the velocity of the bus from 60km/h to 30km/h in 5s . Calculate the acceleration of the bus

**Q.**

A train starting from a railway station and moving with uniform acceleration attains a speed of 40 km/h in 10 minutes. Find its acceleration.

100km/h

^{2}240km/h

^{2}120km/h

^{2}200km/h

^{2}

**Q.**A CAR TRAVELLING AT 36 KM/H IN 5 SECONDS.WHAT IS THE ACCELERATION.? IF THE SAME CAR STOPS IN 20 SECONDS , WHAT IS THE RETARDATION ?

**Q.**

A particle moves with constant acceleration. If v1, v2 and v3 are the three average velocities in three successive intervals t1, t2 and t3 of time, prove that: v1-v2/v2-v3=t1+t2/t2+t3.

**Q.**

A bullet is fired into a wall with a velocity of 50 M per second. If the Bullet stops at the depth of 10 cm inside the wall find find the retardation provided by the wall

**Q.**What is the acceleration of a van that starts from rest and attains a speed of 20 ms−1 in 25 s?

- 2 ms−2
- 0.8 ms−2
- 7.5 ms−2
- 4 ms−2

**Q.**

What is the expression for average velocity?

**Q.**

A marble rolling on a smooth floor has an initial velocity of 0.4m/s . If the floor offers a retardation of 0.02ms−2 , calculate the time it will take to come to rest.

**Q.**A car is moving at a rate of 18 km/h. When the brakes were applied it comes to rest in a distance of 100m. Calculate the retardation produced by the brakes

**Q.**

A body is projected vertically upward with an initial velocity u. If acceleration due to gravity is g, time for which it remains in air is:

ug

2ug

ug

g2u

**Q.**

What is the acceleration of a van that starts from rest and attains a speed of 20 m/s in 25 seconds?

2 m/s

^{2}0.8 m/s

^{2}7.5 m/s

^{2}4 m/s

^{2}

**Q.**

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

u

u+at

u+at2

u+at2

**Q.**

A wooden slab, starting from rest, slides down an inclined plane of length 10m with an acceleration of 5m/s^2. What would be it's speed at the bottom of inclined plane?

**Q.**A man is standing 40m behindthe bus. The bus starts with acceleration 1m/s^2 also at the same instant the man starts moving with constant speed 9 m/s the minimum time taken by the man to catch the bus will be

**Q.**The third equation of motion (v2−u2=2as) can be derived using first two equations of motion (v=u+at and s=ut+12at2).

- True
- False

**Q.**

A motor bike running at 90km/h is slowed to 54km/h by the application of brakes over a distance of 40 m if the brakes are applied with the same force calculate the :

1 total time in which bike comes to rest

2 total distance travelled by the bike

**Q.**

A ball falls free from rest. The ratio of distances traveled in first, second, third and fourth second is

1:1:1:2

1:2:3:4

1:1:1:3

1:3:5:7

**Q.**

A body moving in a straight line with constant retardation"a"loses 3/4 of initial velocity u.what is its time of motion?

A.3u/4

B.3u/4a

C 4u/3

D.4u/3a

**Q.**If the final velocity is lesser than that of initial during the motion of an object, then it leads to retardation.

- True
- False

**Q.**

Starting from rest, Deepak paddles his bicycle to attain a velocity of 6 m/s in 30 seconds then he applies brakes so that the velocity of the bicycle comes down to 4 m/s in the next 5 seconds. Calculate the acceleration of the bicycle in both the cases. [2 MARKS]

**Q.**

A bullet is fired with a speed of 1000 m/s squared to hit a target 100 m away . If g=10 m/s squared , the gun should be aimed at

a) directly towards target

b) 5 cm below target

c) 5 cm above target

d) 15 cm above target

**Q.**

A train starting from a railway station and moving with uniform acceleration, attains a speed of 40 km/h in 10 minutes. Its acceleration is :

0.00185 m/s

^{2}0.075 m/s

^{2 }0.0185 m/s

^{2}-0.0185 m/s

^{2}

**Q.**

A bullet with velocity of 10 ms^{-2} is brought to rest after penitrating a wooden plank of 4cm thickness. Calculate the retardation of the bullet.

**Q.**

A fan rotates at 100rpm .find its angular velocity and linear velocity , if tip of its blades is 0.20m away from the axis of rotation