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
What is its takeoff speed?
What is its maximum height above the ground?
Thanks for helping
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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
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