Question

a object projected vertically upward with initial velocity u from a tower which have height h .if it take time to reach the ground t then show that h is equal to UT plus half GT square

Answer 1

Y₀ = initial position of the object = h

Y = final position of the object = 0

a = acceleration = acceleration due to gravity = g

t = time of travel

v₀ = initial velocity of the object in upward direction = u

Using the kinematics equation

Y = Y₀ + v₀ t + (0.5) a t²

0 = h + u t + (0.5) g t²

h = - u t -  (0.5) g t²                               where g = - 9.8