A gray kangaroo can bound across level ground with each jump carrying it 8.4m from the takeoff point.
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A gray kangaroo can bound across level ground with each jump carrying it 8.4m from the takeoff point.

[From: ] [author: ] [Date: 12-09-28] [Hit: ]
Typically the kangaroo leaves the ground at a 23 angle.What is its takeoff speed?What is its maximum height above the ground?Thanks for helping-Take-off speed..R = 8.......
FULL Question! A gray kangaroo can bound across level ground with each jump carrying it 8.4 from the takeoff point. Typically the kangaroo leaves the ground at a 23 angle.
What is its takeoff speed?
What is its maximum height above the ground?
Thanks for helping

-
Take-off speed .. using the standard range equation R = u² sin2θ / g
R = 8.40 m
θ = 23º, Initial vel = u
u² = Rg / sin2θ .. .. 8.40 x 9.80 / sin46º .. u² = 114.4 .. .. u = 10.70 m/s

Max height .. using the standard h(max) equation ..
h = u² sin²θ / 2g .. .. (114.70)(sin23)² / (2 x 9.80) .. .. ►h = 0.90 m
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