Question #119240

A baseball is thrown straight upward with a speed of .

a. How long will it rise? [3]

b. How high will it rise? [3]

c. How long after it leaves the hand will it return to the starting point?[5]

a. How long will it rise? [3]

b. How high will it rise? [3]

c. How long after it leaves the hand will it return to the starting point?[5]

Expert's answer

**Solution.**

"v;"

a. "g_y=\\dfrac{v_y-v_{0y}}{t}\\implies t=\\dfrac{vy-v_{0y}}{g_y};"

"v_y=0, t=\\dfrac{-v_{0y}}{g_y};"

b. "h_y=\\dfrac{vy^2-v_{0y}^2}{2g_y};"

"v_y=0, h_y=\\dfrac{-v_{0y}^2}{2g_y};"

c. "t_{max}=2\\sdot(-\\dfrac{v_{0y}}{g_y})=-\\dfrac{2v_{0y}}{g_y};"

**Answer: **a. "t=\\dfrac{-v_{0y}}{g_y};"

b. "h_y=\\dfrac{-v_{0y}^2}{2g_y};"

c. "t_{max}=-\\dfrac{2v_{0y}}{g_y};"

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