A monkey in a tree throws a banana at a person on the ground. The initial...

A monkey in a tree throws a banana at a person on the ground. The initial height of the banana relative to the ground is 4.0 m, and the monkey throws it horizontally with speed 8.0 m/s. How far from the tree is the banana when it hits the ground?

Solutions

Expert Solution

Initial height y_i=4.0m

The banana was thrown horizontal, initial horizontal velocity of the banana is v_ix=8.0m/s

Initial vertical velocity is zero v_iy=0

Vertical acceleration of banana is a_y=-9.8m/s²

The vertical acceleration of the banana is constant, the vertical motion of the banana is governed by the kinematics equation for uniformly accelerated motion. To find the time in which the banana covers distance h we use

We want to find the time in which the banana reaches ground y=0.

Horizontal acceleration of the banana is zero, a_x=0.

Horizontal velocity of the banana does not change with time

Horizontal distance covered by the banana before it reaches the ground is

genius_generous answered 1 year ago

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