Title 3.MOTION IN A STRAIGHT LINE - Questions.pdf ✅

one wishes to triple the maximum height then the ball should be thrown with velocity (a.) √3V0 (b.) 3V0 (c.) 9V0 (d.) 3/2V0 (12.)A cyclist starts from the centre O of a circular park of radius one kilometre, reaches the edge P of the park, then cycles along the circumference and returns to the centre along QO as shown in figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is (a.) 0, 1 (b.) π+4 2 , 0 (c.) 21.4, π+4 2 (d.) 0, 21.4 (13.)A train of 150 m length is going towards north direction at a speed of 10m/sec. A parrot flies at the speed of 5 m/sec towards south direction parallel to the railway track. The time taken by the parrot to cross the train is (a.) 12 sec (b.) 8 sec (c.) 15 sec (d.) 10 sec (14.)Two cars A and B are moving with same speed of 45 kmh−1 along same direction. If a third car C coming from the opposite direction with a speed of 36 kmh−1 meets two cars in an interval of 5 min, the distance of separation of two cars A and B should be (in km) (a.) 6.75 (b.) 7.25 (c.) 5.55 (d.) 8.35 (15.)A person travels along a straight road for the first half time with a velocity v1 and the next half time with a velocity v2 The mean velocity V of the man is (a.) 2 V = 1 v1 + 1 v2 (b.) V = v1+v2 2 (c.) V = √v1v2 (d.) V = √ v1 v2 (16.)A particle starts from rest and traverses a distance 2x with uniform acceleration, then moves uniformly over a further distance 4x and finally comes to rest after moving a further distance 6x under uniform retardation. Assuming entire motion to be rectilinear motion, the ratio of average speed over the journey to the maximum speed on its way is (a.) 4/5 (b.) 3/5 (c.) 2/5 (d.) 1/5 (17.)A body is projected with a velocity v and after some time it returns to the point from which it was projected. The average velocity and average speed of the body for the total time of flight are (a.) v⃗/2 and v/2 (b.) 0 and v/2 (c.) 0 and 0 (d.) v⃗/2 and 0 (18.)An athlete completes one round of a circular track of radius R in 40 sec. What will be his displacement at the end of 2 min. 20 sec (a.) Zero (b.) 2R (c.) 2πR (d.) 7πR (19.)Acceleration-time graph of a body is shown. The corresponding velocity-time graph of the same body is (a.) (b.) (c.) (d.) (20.)A stone thrown vertically upwards attains a maximum height of 45m. In what time the velocity a t v t v t v t v t
of stone become equal to one-half the velocity of throw? (Given g = 10ms −2 ) (a.) 2 s (b.) 1.5 s (c.) 1 s (d.) 0.5 s (21.)A particle starts from the origin and moves along the X-axis such that the velocity at any instant is given by 4t 3 − 2t, where t is in second and velocity is in ms −1 . What is the acceleration of the particle when it is 2 m from the origin? (a.) 10ms −2 (b.) 12ms −2 (c.) 22ms −2 (d.) 28ms −2 (22.)A body is thrown vertically upwards with velocity u. The distance travelled by it in the fifth and the sixth seconds are equal. The velocity u is given by (g = 9.8 ms−2) (a.) 24.5 ms−1 (b.) 49.0 ms−1 (c.) 73.5 ms−1 (d.) 98.0 ms−1 (23.)A body falling from a high Minaret travels 40 m in the last 2 seconds of its fall to ground. Height of Minaret in meters is (take g = 10 m/s −2 ) (a.) 60 (b.) 45 (c.) 80 (d.) 50 (24.)A 2 m wide truck is moving with a uniform speed v0 = 8ms −1 along a straight horizontal road. A pedestrian starts to cross the road with a uniform speed v when the truck is 4m away from him. The minimum value of v, so that he can cross the raod safely is (a.) 2.62ms −1 (b.) 4.6ms −1 (c.) 3.57ms −1 (d.) 1.414ms −1 (25.)From a high tower at time t = 0, one stone is dropped from rest and simultaneously another stone is projected vertically up with an initial velocity. The graph of the distance S between the two stones, before either his the ground, plotted against time t will be as (a.) (b.) (c.) (d.) (26.)A balloon starts rising from the ground with an acceleration of 1.25 m/s 2 after 8s, a stone is released from the balloon. The stone will (g − 10 m/s 2 ) (a.) Reach the ground in 4 second (b.) Begin to move down after being released (c.) Have a displacement of 50 m (d.) Cover a distance of 40 m in reaching the ground (27.)A ball is thrown vertically upwards. Which of the following graph/graphs represent velocity-time graph of the ball during its flight (air resistance is neglected) (a.) A (b.) B (c.) C (d.) D (28.)A body starting from rest moves with uniform acceleration. The distance covered by the body in time t is proportional to (a.) √t (b.) t 3/2 (c.) t 2 (d.) t 3 t v (a) t v (b) t v (c) t v (d)