a ball is thrown vertically upwards with velocity of 25 m/s from the top of Tower of height 30m. how long it will take to travel before it hits the ground? g=10m/s^2

Liana Vaughn

Liana Vaughn

Answered question

2023-02-11

A ball is thrown vertically upwards with velocity of 25 m/s from the top of Tower of height 30m. how long it will take to travel before it hits the ground? g = 10 m / s 2

Answer & Explanation

Cohen Cowan

Cohen Cowan

Beginner2023-02-12Added 4 answers

H = u²/(2g)
H = 25²/(2×10)
H = 31.25 m
From the point of projection, the ball will reach a height of 31.25 meters.
It reaches 30 + 31.25 = 61.25m high from the ground.
t1 = 2u/g
t1 = 2×25/10
t1 = 5 seconds
If v is the speed at which it hits the ground, then
v = √(u² + 2aS)
v = √(25² + 2×10×30)
v = 35 m/s
v = u + at
t2 = (v - u)/g
t2 = (35 - 25)/10
t2 = 1 second
Time taken for it to hit the ground = t1 + t2
= 5 + 1
= 6 seconds

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