The displacement of particle is given by \(x=a_{0}+\frac{a_{1}t}{2}-\frac{a_{2}t^{2}}{3}\). What is its acceleration?
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A particle moves along a straight line OX. At a time t(in second) the distance x (in metre) of the particle from O is given by x = 40 + 12t –t3. How long would the particle travel before coming to rest?
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A metro train starts from rest and in 5 s achieves 108 km/h.After that it moves with constant velocity and comes to rest after travelling 45 m with uniform retardation. If total distance travelled is 395 m, find total time of travelling.
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A train is moving towards east and a car is along north, both with same speed. The observed direction of car to the passenger in the train is
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Let O be the origin, then
passenger in the train at P observes the car at Q along the direction PQ; i.e.west north direction.
Velocity time curve for a body projected vertically upwards is
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Solution
Velocity time curve will be a straight line as shown:
At the highest point v = 0.
A car travelling at a speed of 30 km h–1 is brought to a halt in 8 m by applying brakes. If the same car is travelling at 60 kmh–1, it can be brought to a halt with the same braking power in
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