In the movie clip from Ice Age, dodo birds are chasing a watermelon that accidentally falls off a cliff

Question

 In the movie clip from Ice Age, dodo birds are chasing a watermelon that accidentally falls off a cliff, The watermelon has a horizontal velocity of 8.0 m/s. It is in free fall for 6.0s. How far from the base of the cliff does it land? Find horizontal displacement, Vertical displacement. vertical velocity horizontal velocity

Answer 1

Given

Vox = Vx = 8 m/s (Velocity in x is constant)

t = 6 seconds

Solution

The horizontal displacement

a) X = Vox * t = 8 * 6 = 48 m

The vertical displacement

b) Y = (1/2) * a * t^2 + Voy * t * Yo

Voy = 0 m/s

Y = 0 m

Reference is set at the bottom of the cliff

Simplify equation, since Voy = 0 m/s and Y = 0m

0 = (1/2) * (-g) * t^2 + Yo

Yo = (1/2) * g * t^2 = (1/2) * 9.81 * 6^2 = 176.58 m

c)

Horizontal Velocity = Vx = 8 m/s (To the right)

Vertical Velocity

2*a*(Y-Yo) + Voy^2 = Vy^2

Voy = 0

Y = 0

2 * (-9.81) * (-176.58) = Vy^2

Vy = 58.86 m/s (Downward direction)