1) 2) 3) Having aced her physics class, a student gets a cool summer job with NA
ID: 2127003 • Letter: 1
Question
1)
2)
3)
Having aced her physics class, a student gets a cool summer job with NASA that involves playing golf on distant planets. For the first drive on the 4th hole on the planet Lgis, the total velocity of her ball is as plotted to the left. The ball lands at the same vertical level at which it starts. Along with being distant, the planet Lgis is airless, so we can ignore air resistance. How far will her ball go horizontally before it strikes the ground on the first bounce? What is the acceleration due to gravity on Lgis? What is the maximum height the ball reaches above the surface?Explanation / Answer
A)
23.0 m/s(5.0 s) = 115 m
B) acceleration due to gravity on Lgis
Initial total velocity is 33 m/s
if ? is the initial angle of projection from horizontal
23 = 33 cos?
? = 45.81°
initial vertical velocity is
vy = 33sin45.81
vy = 23.66 m/s
this vertical velocity is reduced to zero in 2.5 seconds
a = ?v/?t
a = (0 - 23.66) / (2.5 - 0)
a = -9.47 m/s²
C) maximum height the ball reaches above the surface
y = ½at²
y = ½(9.47)2.5²
y = 29.6 m
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