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qUESTIONS

A man throws a ball to maximum horizontal distance of 80 m. Calculate the maximum height reached.

A metro train runs from station A to B to C. It takes 4 minutes in travelling from station A to station B. The train halts at station B for 20 s. Then it starts from station B and reaches station C in the next 3 minutes. At the start, the train accelerates for 10 sec to reach the constant speed of 72 km/hr. The train moving at the constant speed is brought to rest in 10 sec. at next station. (i) Plot the velocity-time graph for the train travelling from station A to B to C. (ii) Calculate the distance between stations A, B, and C.

A car travels at a speed of 50 km/hr for 30 minutes, at 30 km/hr for next 15 minutes and then 70 km/hr for next 45 minutes. What is the average speed of the car?

A car moving along a straight road with a speed of 120 km/hr, is brought to rest by applying brakes. The car covers a distance of 100 m before it stops. Calculate (i) the average retardation of the car (ii) time taken by the car to come to rest.

An aeroplane has a run of 500 m to take off from the runway. It starts from rest and moves with constant acceleration to cover the runway in 30 sec. What is the velocity of the aeroplane at the take off ?

The initial velocity of an object is vector ū = 5î + 10ĵ m/s. Its constant acceleration is vector ā = 2î + 3ĵ m/s². Determine the velocity and the displacement after 5 s.

The position vectors of three particles are given by x̄₁ = (5î + 5ĵ)m, x̄₂ = 5tî + 5tĵ)m and x̄₃ = 5tî + 10t²ĵ)m Determine the velocity and acceleration for each, in SI units.

A stone is thrown vertically upwards from the ground with a velocity 15 m/s. At the same instant a ball is dropped from a point directly above the stone from a height of 30 m. At what height from the ground will the stone and the ball meet and after how much time? (Use g = 10 m/s² for ease of calculation)

A person walks from point P to point Q along a straight road ¡n 10 minutes, then turns back and returns to point R which is midway between P and Q after further 4 minutes. If PQ is 1 km, find the average speed and velocity of the person in going from P to R.

Given v₁ = 5î+2ĵ and v2=aî-6 ĵ are perpendicular to each other, determine the value of a.

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