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A monkey accelerates uniformly for 2m starting from rest before jumping horizontally from the top of a 20m cliff. What is the minimum acceleration so that the monkey can clear a field of throny bushes stretching out 4m from the base of the cliff?

Question

A monkey accelerates uniformly for 2m starting from rest before jumping horizontally from the top of a 20m cliff. What is the minimum acceleration so that the monkey can clear a field of throny bushes stretching out 4m from the base of the cliff?

check_circleAnswer
Step 1

Use the equation of motion to calculate the velocity at the instant that the monkey jumps.

u2as
(0)2a(2 m)
V4a m
н
2a m
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u2as (0)2a(2 m) V4a m н 2a m

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Step 2

Use the equation of motion along the vertical to calculate the time taken by the monkey to reach the ground.

1
Syu,tat
2
-h=(0)t8)
2h gr
2h
t =
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1 Syu,tat 2 -h=(0)t8) 2h gr 2h t =

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Step 3

When the monkey will jump, velocity at the instant that the monkey jumps will be its initial velocity along the horizontal.

 

Use the e...

1
2
2h
2h
(4 m)(2/a m
g
(4 m)(2a m2h
2h
16 m2 (4a m)
2g m
help_outline

Image Transcriptionclose

1 2 2h 2h (4 m)(2/a m g (4 m)(2a m2h 2h 16 m2 (4a m) 2g m

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