Answer :
The time taken for the shoe to reach the ground is 8.1 seconds.
What is the time of motion of the shoe?
The time taken for the shoe to reach the ground is known as the time of motion of the shoe.
The value of the time of motion of the shoe is calculate using the following kinematic equation.
h = vt + ¹/₂gt²
where;
- h is the height of fall of the shoe
- v is the initial vertical velocity of the shoe
- g is acceleration due to gravity
- t is the time taken for the shoe to hit the ground
The initial vertical velocity of the shoe = 0
The new equation becomes;
h = 0 + ¹/₂gt²
t = √(2h/g)
t = √(2 x 321 / 9.8)
t = 8.1 seconds
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