Miscellaneous T...

A man is walking at the rate of 3 km/hr and the rain apears to him falling vertically with a velocity of 3√3 km/hr. If the actual direction of the rain makes an angle θ with direction of man, then θ =

Two trains A and B, 100 kms apart, are travelling to each other with starting speed of 50 km/hr for both. The train A is accelerating at 18 km/hr² and B is decelerating at 18 km/hr². The distance where the engines cross each other from the initial position of A is

A particle is moving with a uniform acceleration. If during its motion, it moves x, y and z distance in p^th, q^th and r^th seconds respectively, then

A body travels a distance s in t seconds. It starts from rest and ends at rest. In the first part of the journey, it moves with constant acceleration f and in the second part with constant rctardation r. The value of t is given by

A particle is dropped under gravity from rest from a height h (g = 9.8 m/sec²) and then it travels a distance in the last second. The length h is

A mass in is acted upon by a constant force p lb. wt. under which in t seconds it moves a distance of x feet and acquires a velocity v ft/sec. Then x is equal to

An engine and train weigh 420 tons and the engine exerts a force of 7 tons. If the resistance to motion be 14 lbs. wt. per ton, then the time, the train will take to acquire a velocity of 30 m/hr from rest is

A parachute weighing 112 lbs. wt. falling with a uniform acceleration from rest, describes 16 ft. in the first 4 sec. Then the resultant pressure of air on the parachute is

The sum of two weights of an Atwood’s machine is 16 lbs. The heavier weight descends 64 ft in 4 seconds. The value of weights in lbs are