A fox sees a piece of carrion being thrown from a hawk's nest and rushes to snatch it. The nest is 14.0 m high, and the carrion is thrown with a horizontal velocity of 1.5 m/s. The fox is 7.0 m from the base of the tree. What is the magnitude of the fox's average velocity if it grabs the carrion in its mouth just as it touches the ground?

(Assume no air resistance and that ay = g = 9.81 m/s2.)

Question

Biology

Gardner

10 March, 13:03

A fox sees a piece of carrion being thrown from a hawk's nest and rushes to snatch it. The nest is 14.0 m high, and the carrion is thrown with a horizontal velocity of 1.5 m/s. The fox is 7.0 m from the base of the tree. What is the magnitude of the fox's average velocity if it grabs the carrion in its mouth just as it touches the ground?

(Assume no air resistance and that ay = g = 9.81 m/s2.)

+5

Answers (1)

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Finley · Answer 1

Vertical d = 1/2 gt±²

14.0 = 0.5 (9.81) t²

t² = 14.0 / (0.5) (9.81)

t² = 2,85

t = 1.69 sec

horizontal distance traveled by carrion in t = 1.69 sec

d = vt

d = (1.5) (1.69)

d = 2.53 m

fox must travel horizontally = (7.0 - 2.5) = 4.5 m in t = 1.69 sec.

fox speed (avg) = 4.5/1.69 = 2.7 m/s to catch carrion ANS