Maria throws an apple vertically upward from a height of 1.3 m with an initial velocity of + 2.4 m/s.
a. Will the apple reach a friend in a treehouse 5.3 m above the ground?
b. If the apple is not caught, how long will the apple be in the air before it hits the ground?

Question

Maria throws an apple vertically upward from a height of 1.3 m with an initial velocity of + 2.4 m/s.
a. Will the apple reach a friend in a treehouse 5.3 m above the ground?
b. If the apple is not caught, how long will the apple be in the air before it hits the ground?

anonymous · Answer

$$v^2=v_0^2-2gh$$ for known initial velocity, we can find max height (when v=0): $$h=\frac{v_0^2}{2g}$$ To find the time the apple be in the air: $$v=v_0-gt\0=v_0-gt\t=\frac{v_0}{g}\t_{total}=2t=\frac{2v_0}{g}$$