Question

An apple falls from a tree and hits the ground
9.41 m below.
With what speed will it hit the ground?
The acceleration of gravity is 9.8 m/s
2
.
Answer in units of m/s

Answer 1

Answer on Question #47943, Physics, Mechanics | Kinematics | Dynamics

An apple falls from a tree and hits the ground 9.41 m below. With what speed will it hit the ground? The acceleration of gravity is 9.8 m/s². Answer in units of m/s

Solution:

The kinematic equation that describes an object's motion is:

$$v _ {f} ^ {2} = v _ {i} ^ {2} + 2 a d$$

The symbol $d$ stands for the displacement of the object. The symbol $a$ stands for the acceleration of the object. And the symbol $v$ stands for the velocity of the object; a subscript of $i$ after the $v$ indicates that the velocity value is the initial velocity value and a subscript of $f$ indicates that the velocity value is the final velocity value.

$$v _ {i} = 0$$ $$d = 9.41 \mathrm{m}$$ $$a = g = 9.8 \mathrm{m/s^2}$$ $$v _ {f} = \sqrt {0 + 2 * 9.8 * 9.41} = 13.58 \mathrm{m/s}$$

Answer: $v_{f} = 13.58 \, \mathrm{m/s}$

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