The initial velocity of the apple is 24.2 m/s
Explanation:
The motion of the apple is a free fall motion (acted upon the force of gravity only), so it is a motion at constant acceleration. We can find the initial velocity by using the following suvat equation:
[tex]v^2-u^2=2as[/tex]
where:
v is the final velocity
u is the initial velocity
a is the acceleration
s is the displacement
In this problem we have:
v = 0 is the final velocity (at the maximum height, the velocity is zero)
s = 30 m is the vertical displacement
[tex]a=g=-9.8 m/s^2[/tex] is the acceleration of gravity (negative since it is downward)
Substituting and solving for u, we find the initial velocity:
[tex]u=\sqrt{-2as}=\sqrt{-2(-9.8)(30)}=24.2 m/s[/tex]
Learn more about free fall motion here:
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