A car is moving along a straight road with a uniform acceleration. It passes through two points P and Q separated by a distance with velocity 30 km/h and 40 km/h respectively. The velocity of the car midway between P and Q is [1988]
A train of 150 metre long is going towards north direction at a speed of 10 m/s . A parrot flies at the speed of 5 m/s towards south direction parallel to the railway track. The time taken by the parrot to cross the train is [1988, 1992]
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What will be the ratio of the distances moved by a freely falling body from rest in 4th and 5th seconds of journey? [1989]
A car covers the first half of the distance between two places at 40 km/h and other half at 60 km/h.The average speed of the car is [1990]
A bus travelling the first one third distance at a speed of 10 km/h, the next one third at 20 km/h and the last onethird at 60 km/h. The average speed of the bus is [1991]
A car moves a distance of 200 m. It covers the first half of the distance at speed 40 km/h and the second half of distance at speed v. The average speed is 48 km/h. Find the value of v
A body dropped from top of a tower fall through 40 m during the last two seconds of its fall. The height of tower is (g = 10 m/s^{2}) [1991]
Which of the following curve does not represent motion in one dimension? [1992]
A body starts from rest, what is the ratio of the distance travelled by the body during the 4th and 3rd seconds ? [1993]
A car accelerates from rest at a constant rate α for some time, after which it decelerates at a constant rate β and comes to rest. If the total time elapsed is t, then the maximum velocity acquired by the car is [1994]
The displacement time graph of a moving particle is shown below
The instantaneous velocity of the particle is negative at the point [1994]
A particle moves along a straight line such that its displacement at any time t is given by s = (t^{3} – 6t^{2 }+ 3t + 4) metres The velocity when the acceleration is zero is
A body is thrown vertically upward from the ground. It reaches a maximum height of 20 m in 5 sec. After what time, it will reach the ground from its maximum height position? [1995]
A stone released with zero velocity from the top of a tower, reaches the ground in 4 sec. The height of the tower is (g = 10m / s^{2} ) [1995]
Three different objects of masses m1, m2 and m3 are allowed to fall from rest and from the same point O along three different frictionless paths.The speeds of the three objects on reaching the ground will be in the ratio of [1995]
The water drops fall at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at an instant when the first drop touches the ground. How far above the ground is the second drop at that instant ? (Take g = 10 m/s^{2})[1995]
If a ball is thrown vertically upwards with a velocity of 40 m/s, then velocity of the ball after two seconds will be (g = 10 m/s^{2}) [1996]
The displacement of a particle varies with time (t) as: s = at^{2} – bt^{3}. The acceleration of particle is zero, at time T equal to
If a car at rest accelerates uniformly to a speed of 144 km/h in 20 s, it covers a distance of [1997]
A car moving with a speed of 40 km/h can be stopped by applying brakes at least after 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance? [1998]
The displacement of a particle is represented by the following equation : s = 3t^{3} + 7t^{2} + 5t+8 where s is in metre and t in second. The acceleration of the particle at t = 1s is [2000]
A stone is thrown vertically upwards with kinetic energy K. The kinetic energy at the highest point is [2001]
If a ball is thrown vertically upwards with speed u, the distance covered during the last t seconds of its ascent is [2003]
A man throws balls with the same speed vertically upwards one after the other at an interval of 2 seconds. What should be the speed of the throw so that more than two balls are in the sky at any time? [Given g = 9.8 m/s^{2}] [2003]
The displacement x of a particle varies with time t as x = ae^{αt} + be^{βt}, where a, b, α and β are positive constants. The velocity of the particle will [2 00 5]
A ball is thrown ver tically upward. It has a speed of 10 m/sec when it has reached one half of its maximum height. How high does th e ball rise? [2001, 2005] Take g = 10 m/s^{2}.
A particle moves along a straight line OX. At a time t (in seconds) the distance x (in metres) of the particle from O is given by x = 40 + 12t – t^{3}. How long would the particle travel before coming to rest? [2006]
Two bodies, A (of mass 1 kg) and B (of mass 3 kg), are dropped from heights of 16m and 25m, respectively. The ratio of the time taken by them to reach the ground is [2006]
The position x of a particle with respect to time t along xaxis is given by x = 9t^{2} – t^{3} where x is in metres and t in second. What will be the position of this particle when it achieves maximum speed along the +ve x direction? [2007]
A car moves from X to Y with a uniform speed v_{u} and returns to Y with a uniform speed v_{d}. The average speed for this round trip is [2007]
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