A ball thrown vertically upwards with a speed of 19.6 m/s from the top of a tower returns to the earth in 6s. Find the height of tower: A) 60 B) 58 C) 58.8 D) None of these

Jaylene Hughes

Jaylene Hughes

Answered question

2023-03-13

A ball thrown vertically upwards with a speed of 19.6 m/s from the top of a tower returns to the earth in 6s. Find the height of tower:
A)60
B) 58
C) 58.8
D) None of these

Answer & Explanation

plakatnihpkd

plakatnihpkd

Beginner2023-03-14Added 5 answers

The correct option is C. 58.8 m.
Let the height of the tower be h.
Here,
u=19.6 m/s
t=6 s
s=−h (The height of the tower is the magnitude of the displacement. Its negative value is used because it is in the opposite direction as the initial velocity.).
a=−g=−9.8 m/s2 (It is regarded as negative because the direction of gravity's acceleration is downwards, whereas the initial velocity is upwards).
Using the second equation of motion s = u t + 1 2 a t 2 we get,
∴−h=(19.6×6)− 9.8 × 6 × 6 2
=-58.8 m
Therefore, the height of the tower is 58.8 m.

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