Issac can throw a baseball to a maximium height of 23.4 m above the ground. What

Question

Issac can throw a baseball to a maximium height of 23.4 m above the ground. What is the spped of the ball when it hits the ground? _________m/s

What is the total time of flight of the ball if Isaac releases the vertical throw 2 m above the ground? ______s

What is the initial velocity of the throw?_______m/s

If Isaac then took a trip to the moon where the acceleration due to gravity is 1.62 m/s^2 and threw the baseball vertically with the same intital velocity and release point, what would be the maximum height the ball would travel above the Moon's surface? __________m

Explanation / Answer

here,

maximum height , h = 23.4 m

the spped of the ball when it hits the ground, v = sqrt(2*g*h)

v = sqrt(2*9.81 * 23.4) m/s

v = 21.4 m/s

let the initial speed be u

u = sqrt(2 * g * ( h -2))

u = sqrt(2*9.8*(23.4 -2)) m/s

u= 20.5 m/s

the total time of flight of the ball , t = v/g + u/g

t = 21.5/9.8 + 20.5/9.8

t = 4.3 s

the maximum height , h = u^2/( 2 * 1.66) + 2

h = 20.5^2 /(2 * 1.66) + 2

h = 128.6 m

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