Question

A stone is thrown horizontally to the right at a speed of 12.0 m/s from the top of a cliff that is 83.6 m high. Consider up and to the right positive directions. How long does it take the stone to hit the ground?
Question 16 options:

4.1 s


7.0 s


17.1 s


49.2 s

Answer 1

option A is the correction answer.

The time taken for the stone to hit the ground is 4.1 seconds.

What is the time of motion of the stone?

The time take for the stone to hit the ground is the time of motion of the stone. It can also be called the time spent in air by the stone. This time of motion of the stone  can be calculated using the following kinematic equation.

h = vt + ¹/₂gt²

where;

• v is the initial vertical velocity of the stone = 0
• t is the time of motion
• g is acceleration due to gravity
• h is height

h = 0 + ¹/₂gt²

t = √(2h/g)

t = √(2 x 83.6 / 9.8)

t = 4.1 seconds

Learn more about time of motion here: brainly.com/question/2364404

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