question 26 The best leaper in the animal kingdom is the puma, which can jump to

Question

question 26

The best leaper in the animal kingdom is the puma, which can jump to a height of 3.7 m when leaving the ground at an angle of 45 degree. With what speed must the animal leave the ground to reach that height? The record distance in the sport of throwing cowpats is 81.1 m. This record toss was set by Steve of the United States in 1981. Assuming the initial launch angle was 45 degree and neglecting air resistance, determine (a) the initial speed of the projectile and (b) the time the projectile was in flight. (c) would the answer change if the launch angle greater than 45 degree? Explain.

Explanation / Answer

(A) R = v0^2 sin( 2 theta) / g

81.1 = v0^2 sin(2 x 45) / 9.8

v0 = 28.2 m/s

(b) T = 2 v0 sin(theta) /g

t = 2 x 28.2 x sin45 / 9.8

t = 4.07 sec

(c) distance will decrease.

time will increase.

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