Class 9 Science - Chapter Gravitation NCERT Solutions | A ball is thrown vertically upwards with

Welcome to the NCERT Solutions for Class 9th Science - Chapter Gravitation. This page offers a step-by-step solution to the specific question from Exercise 6, Question 13: a ball is thrown vertically upwards with a velocit....
Question 13

A ball is thrown vertically upwards with a velocity of 49 m/s. Calculate
(i) the maximum height to which it rises,
(ii) the total time it takes to return to the surface of the earth.

Answer

We know that the equation of motion under gravity:

v2 − u2 = 2 gs

Where,

u = Initial velocity of the ball

v = Final velocity of the ball

s = Height achieved by the ball

g = Acceleration due to gravity

At maximum height, final velocity of the ball is zero, i.e., v = 0

u = 49 m/s

During upward motion, g = − 9.8 m s−2

(i) Let; h = the maximum height attained by the ball.

Hence,

(ii) Let; t = time taken by the ball to reach the height 122.5 m

 then using the equation of motion:

v = u + gt

We get,

But,

Time of ascent = Time of descent

Therefore, total time taken by the ball to return = 5 + 5 = 10 s

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