Answer to Question #334776 in Math for Agl

Question

7. A ball is thrown vertically upward with a speed of 7.1 m/s. Find:

(9 points)

a. Maximum height reached the ball

b. Its time of flight

c. Velocity the ball would return to its starting point

Answer 1

a.

$$h_{max}=\dfrac{v_0^2}{2g}=\dfrac{(7.1m/s)^2}{9.8m/s^2}\approx2.572m$$

b.

$$h(t)=v_0t-\dfrac{gt^2}{2}$$ $$h=0=>v_0t-\dfrac{gt^2}{2}=0$$

$$t_1=0, t_2=\dfrac{2v_0}{g}$$

$$t_2=\dfrac{2(7.1m/s)}{9.8m/s^2}\approx1.45s$$

c.

$$v_{ground}=-v_0=-7.1m/s$$