2nd Equation of Motion
Trending Questions
Q. A car starts from rest and accelerates uniformly to a speed of 90 km/h in 5 s. The distance covered by the car in this time interval is
- 125 m
- 60 m
- 62.5 m
- 48 m
Q. A body sliding on a smooth inclined plane requires 4 s to reach the bottom, starting from rest at the top. How much time does it take to cover one-fourth of the distance starting from rest at the top?
- 1 s
- 2 s
- 4 s
- 16 s
Q. The distance travelled by a particle starting from rest and moving with an acceleration 43 m/s2, in the third second is
- 103 m
- 193 m
- 6 m
- 4 m
Q. A projectile is fired horizontally with a velocity of 98 m/s from the top of a hill 490 m high. Find the time taken by the projectile to reach the ground.
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/926584/original_Dia_26.8.png)
![](https://df0b18phdhzpx.cloudfront.net/ckeditor_assets/pictures/926584/original_Dia_26.8.png)
- 20 s
- 10 s
- 25 s
- 15 s
Q. Four marbles are dropped from the top of a tower one after the other with an interval of one second. The first one reaches the ground after 4 seconds. When the first one reaches the ground the distances between the first and second, the second and third and the third and fourth will be respectively.
- 35, 25 and 15 m
- 30, 20 and 10 m
- 20, 10 and 5 m
- 40, 30 and 20 m
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
- 4 m
- 5 m
- 1 m
- 6 m
Q. A particle moving with a uniform acceleration travels 24 m and 64 m in the first two consecutive intervals of 4 sec each. Its initial velocity is
- 1 m/sec
- 10 m/sec
- 5 m/sec
- 2 m/sec
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. A man is d distance behind a bus. The bus starts from rest and moves away from the man with an acceleration a. At the same time man starts running towards the bus with a constant velocity v. Which of the following options are correct?
- the man catches the bus if v≥√2 ad
- if man just catches the bus, the time of catching the bus will be t=v/a
- if man just catches the bus, the time of catching the bus will be t=2v/a
- the man will catch the bus if v≥√ad
Q. A body falls freely from rest. It covers as much distance in the last second of its motion as covered in the first three seconds. The body has fallen for a time of ( in seconds upto two decimals)
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. 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
- aT4
- 3aT2
- aT2
- aT
Q. A particle travels 10 m in first 5 sec and 10 m in next 3 sec . Assuming constant acceleration what is the distance travelled in next 2 sec
- 8.3 m
- 9.3 m
- 10.3 m
- None of above
Q. The acceleration of the particle moving in x−direction with an initial velocity 3 m/s is 2 m/s2. Then its displacement at t=3s will be
- 36 m
- 26 m
- 8 m
- 18 m
Q. A boy on a cliff 500 m high drops a stone. Three seconds later he throws another stone. They both hit the ground at the same time. The speed with which he threw the second stone is nearly equal to:
(take g=10 m/s2) (Neglect air friction)
(take g=10 m/s2) (Neglect air friction)
- 0 m/s
- 36.43 m/s
- 106.43 m/s
- 32.67 m/s
Q. A boy on a cliff 500 m high drops a stone. Three seconds later he throws another stone. They both hit the ground at the same time. The speed with which he threw the second stone is nearly equal to:
(take g=10 m/s2) (Neglect air friction)
(take g=10 m/s2) (Neglect air friction)
- 0 m/s
- 36.43 m/s
- 106.43 m/s
- 32.67 m/s
Q. Two cars A and B are at rest and at the same point initially. If A starts with uniform velocity of 40 m/s and B starts in the same direction with constant acceleration of 4 m/s2 , then B will catch A after the time
- 10 s
- 20 s
- 30 s
- 35 s
Q. A passenger is standing 10 m away from a bus. The bus begins to move with constant acceleration of 5 m/s2 away from passenger. With what minimum speed must passenger run to catch bus.
- 10 m/s
- 8 m/s
- 12 m/s
- 5√2 m/s
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
- 925
- 35
- 259
- 125
Q. A student is standing at a distance of 50 metres from a bus. As soon as the bus begins its motion (starts moving away from student) with an acceleration of 1 m s−2, the student starts running towards the bus with a uniform velocity u. Assuming the motion to be along a straight road, the minimum value of u, so that the student is able to catch the bus is:
- 5 ms−1
- 8 ms−1
- 10 ms−1
- 12 ms−1
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 ball is thrown upward with an initial velocity of 100 ms−1. Find the height of the ball after 15 s. Take g=10 ms−2
- 375 m
- 425 m
- 395 m
- 275 m
Q. A body starts from rest, and moves with an acceleration of 1 ms−2. The displacement (in m) of the body in 5 seconds is
- 12.5
- 25
- 7.5
- 15
Q. A particle is moving in a straight line and passes through a point O with a velocity of 6 m/s. Then particle moves with a constant retardation of 2 m/s2 for 4 s and thereafter moves with constant velocity. How long after leaving O does the particle return to O?
- 3 seconds
- 8 seconds
- 8.5 seconds
- 4.5 seconds
Q. A particle starts from rest and moves with a constant acceleration of 10 ms−2 . Then the displacement in first 5 sec of the motion will be
- 125 m
- 250 m
- 220 m
- 130 m
Q. A particle starts with a velocity of 2 ms−1 and moves in a straight line with a retardation of 0.1 ms−2. The first time at which the particle is 15 m from the starting point is
- 10 s
- 20 s
- 30 s
- 40 s
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
- 750 m
- 800 m
- 700 m
- 850 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
- aT4
- 3aT2
- aT2
- aT
Q. A particle returns to the starting point after 10 s. if the rate of change of velocity during the motion is constant, then its location after 7 s will be same as that after
- 3 s
- 4 s
- 5 s
- 6 s
Q. A particle moving with a uniform acceleration along a straight line covers distances a and b in successive intervals of p and q second. The acceleration of the particle is
- pq(p+q)2(bp−aq)
- 2(aq−bp)pq(p−q)
- (bp−aq)pq(p−q)
- 2(bp−aq)pq(p+q)