General
✓✗A car moving with a speed of 40 km/h can be stopped by applying brakes after atleast 2 m. If the same car is moving with a speed of 80 km/h, what is the minimum stopping distance?
- 4 m
- 6 m
- 8 m
- 2 m
General
✓✗A bus travelling the first one-third distance at a speed of 10 km/h, the next one-third at 20 km/h and at last one-third at 60 km/h. The average speed of the bus is
- 9 km/h
- 16 km/h
- 18 km/h
- 48 km/h
General
✓✗A car covers the first half of the distance between two places at 40 km/h and another half at 60 km/h. The average speed of the car is
- 40 km/h
- 48 km/h
- 50 km/h
- 60 km/h
General
✓✗A car moves from X to Y with a uniform speed vu and returns to Y with a uniform speed vd. The average speed for this round trip is
General
✓✗The displacement x of a particle varies with time t as x = ae–at + bebt, where a, b, a and b are positive constants. The velocity of the particle will
- be independent of b
- drop to zero when a = b
- go on decreasing with time
- go on increasing with time
General
✓✗Which of the following curve does not represent motion in one dimension?
General
✓✗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/s2)
(Given g = 9.8 m/s2)
- more than 19.6 m/s
- at least 9.8 m/s
- any speed less than 19.6 m/s
- only with speed 19.6 m/s
General
✓✗A particle moves along a straight line such that its displacement at any time t is given by s = (t3 – 6t2 + 3t+ 4) metres. The velocity when the acceleration is zero is
- 3 m/s
- 42 m/s
- –9 m/s
- –15 m/s
General
✓✗A ball is dropped from a high rise platform at t = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed v. The two balls meet at t = 18 s. What is the value of v? (Take g = 10 m/s2)
- 75 m/s
- 55 m/s
- 40 m/s
- 60 m/s
General
✓✗A car runs at a constant speed on a circular track of radius 100 m, taking 62.8 seconds for every circular lap. The average velocity and average speed for each circular lap respectively is
- 10 m/s, 0
- 0, 0
- 0, 10 m/s
- 10 m/s, 10 m/s
General
✓✗If a car at rest accelerates uniformly to a speed of 144 km/h in 20 sec, it covers a distance of
- 1440 cm
- 2980 cm
- 20 m
- 400 m
General
✓✗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. The value of v is
- 56 km/h
- 60 km/h
- 50 km/h
- 48 km/h
General
✓✗The water drop falls at regular intervals from a tap 5 m above the ground. The third drop is leaving the tap at instant the first drop touches the ground. How far above the ground is the second drop at that instant?
- 3.75 m
- 4.00 m
- 1.25 m
- 2.50 m
General
✓✗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 – t3. How long would the particle travel before coming to rest?
- 16 m
- 24 m
- 40 m
- 56 m
General
✓✗A stone falls freely under gravity. It covers distances h1, h2 and h3 in the first 5 seconds, the next 5 seconds and the next 5 seconds respectively. The relation between h1, h2 and h3 is
- h2 = 3h1 and h3 = 3h2
- h1 = h2 = h3
- h1 = 2h2 = 3h3
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