First Equation of Motion
Trending Questions
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/s2 , 15 km
3 m/s2 , 1/15 km
1/15 m/s2 , 3 km
4.5 m/s2 , 2 km
Derive an equation v=u+at .
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.
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
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.
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
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/h2
240km/h2
120km/h2
200km/h2
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.
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
- 2 ms−2
- 0.8 ms−2
- 7.5 ms−2
- 4 ms−2
What is the expression for average velocity?
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.
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
What is the acceleration of a van that starts from rest and attains a speed of 20 m/s in 25 seconds?
2 m/s2
0.8 m/s2
7.5 m/s2
4 m/s2
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
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?
- True
- False
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
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
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
- True
- False
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]
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
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/s2
0.075 m/s2
0.0185 m/s2
-0.0185 m/s2
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.
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