From the top of a tower, a particle is projected upwards and it reaches the ground after 5 second. The initial velocity of the particle is 12 m/s, the height of the tower is :

Foundation

Physics Foundation

Vertical Motion

Force and Newtons Law of Motion

Question

From the top of a tower, a particle is projected upwards and it reaches the ground after 5 second. The initial velocity of the particle is 12 m/s, the height of the tower is :

75 m

55 m

85 m

65 m

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u_up = 12 m/s

u_down = – 12 m/s.

let tower height = H

H = ut + $\frac{1}{2}$ gt², t = 5s

H = – 12 × 5 + $\frac{1}{2}$ ×10 × (5)²

H = – 60 + 125 = 65 m.