# Relation of Maths with Other Subjects

1.

An object is moving with uniform accleration. Its velocity after 5 sec is 25m/s and after 8 sec,it is 34 m/s. Find the distance travelled by this object in 12th second. Ans. 44.5 A particle starts with a velocity of 100 cm/s and moves with –2 cm/s2 acceleration. When its velocity be zero and how far will it have gone? Ans. 50s , 25m m/s. After 7 a time interval ∆t, the velocity of the body is reduced by half, and after the same time interval, the velocity is again reduced by half. Determine the velocity (in ms–1 ) vf of the body after a time interval 3∆t from the moment when the constant force starts acting. Ans. 10 A certain constant force starts acting on a body moving at a constant velocity A particle is moving with uniform acceleration, in eighth and thirteenth second after starting it moves through 255 cm and 225 cm respectively. Find its initial velocity and its acceleration. Ans. 300 cm/s, 6 cm/s2 The speed of the train is reduced from 36 km an hour to 9 km per hour whilst it travels a distance of 150 metres, if the retardation be uniform, find how much further it will travel before coming to rest. Ans. 10 m A train takes 5 minutes to cover a distance of 3 km between two stations P and Q. Starting from rest at P, it accelerates at a constant rate to a speed of 40 km/h and maintains this speed until it is brought uniformly to rest at Q. If the train takes three times as long to decelerate as it does to Ans. 15s accelerate, find the time taken by the train to accelerate. A train stops at two stations P and Q which are 2 km apart. It accelerates uniformly from P at 1 m/s2 for 15 seconds and maintains a constant speed for a time before decelerating uniformly to rest at Q. If the deceleration is 0.5 m/s2, find the time for which the train is travelling at a constant speed. Ans. 111 s A car is moving along a straight line. It is taken from rest to a velocity of 20 m/s by a constant acceleration of 5 m/s2. It maintains a constant velocity of...

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