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8. Super Mario is attempting to high jump from a pipe on to a set of bricks at 2.44m. At the
instant of takeoff, his vertical velocity is 4.0 m/s and his center of gravity is 1.25m high 4.0 m/s
What is Mario's vertical acceleration at the instant of takeoff? a. 9.81 m/s (downward) How
much time elapses after takeoff until Mario reaches his peak height? b. 0.41 s c. What peak
height does Mario's center of gravity achieve?P
Solution
here,
h0 = 2.44 m
initial vetical velocity , v0 = 4 m/s
a)
the Mario's vertical accelration , g = 9.81 m/s^2
b)
the time elapsed , t = v0 /g
t = 4 /9.81 = 0.41 s
c)
the peak height , h = 1.25 + v0^2 /2g
h = 1.25 + 4^2 /(2 * 9.81)
h = 2.07 m
8- Super Mario is attempting to high jump from a pipe on to a set of b.docx

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  • 1. 8. Super Mario is attempting to high jump from a pipe on to a set of bricks at 2.44m. At the instant of takeoff, his vertical velocity is 4.0 m/s and his center of gravity is 1.25m high 4.0 m/s What is Mario's vertical acceleration at the instant of takeoff? a. 9.81 m/s (downward) How much time elapses after takeoff until Mario reaches his peak height? b. 0.41 s c. What peak height does Mario's center of gravity achieve?P Solution here, h0 = 2.44 m initial vetical velocity , v0 = 4 m/s a) the Mario's vertical accelration , g = 9.81 m/s^2 b) the time elapsed , t = v0 /g t = 4 /9.81 = 0.41 s c) the peak height , h = 1.25 + v0^2 /2g h = 1.25 + 4^2 /(2 * 9.81) h = 2.07 m