A ball is dropped from the top of a building 122.5 m high. How long will it take to reach the ground? What wilt be its velocity

Question

A ball is dropped from the top of a building 122.5 m high. How long will it take to reach the ground? What wilt be its velocity

A ball is dropped from the top of a building 122.5 m high. How long will it take to reach the ground? What wilt be its velocity when it strikes the ground?

Monjur Alahi

5 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Given: s = h = 122.5 m, u = 0,

a = g = 9.8 ms²

To find: (i) Time taken to reach the ground (t)

(ii) Velocity of ball when it strikes ground (v)

Formulae: (i) s = ut + \(\frac{1}{2}\) at²

(ii) v = u + gt

Calculation: From formula (i),

122.5 = 0 + \(\frac{1}{2}\) × 9.8 t²

t² = \(\frac{122.5}{4.9}\) = 25

t = \(\sqrt{25}\) = 5 second

From formula (ii),

v = u + gt

v = 0 + 9.8 × 5 = 49 m/s

(i) Time taken to reach the ground is 5 s.

(ii) Velocity of the ball when it strikes the ground is 49 m/s.