A peregrine falcon dives at a pigeon. The falcon starts downward from rest and f

Question

A peregrine falcon dives at a pigeon. The falcon starts downward from rest and falls with free-fall acceleration. If the pigeon is 84.0 m below the initial position of the falcon, how long does it take the falcon to reach the pigeon? Assume that the pigeon remains at rest. A small mailbag is released from a helicopter that is descending steadily at 1.50 m/s. After 5.00 s, what is the speed of the mailbag? m/s How far is it below the helicopter? m What are your answers to parts (a) and (b) if the helicopter is rising steadily at 1.50 m/s? m/s m A ball thrown vertically upward is caught by the thrower after 4.00 s. Find the initial velocity of the ball. m/s Find the maximum height it reaches. m

Explanation / Answer

Part 1 )

s = ut + 1/2*g*t^2

here initial velocity = 0

s = 84 m

t = sqrt(2s/g)

t = 4.14 s

part 2 )

a)

v = vo - gt

vo = -1.5

v = -1.5 -9.8*5

v = -50.5 m/s

b )

y = 1/2(v+vo)*t

y = 1/2*(-50.5 -1.5) * 5

y = -130 m

part c )

subpart a )

vo = +1.5

v = 1.5 - 9.8*5

v = -47.5 m/s

subpart b)

y = 1/2(-47.5 + 1.5) *5

y = -115 m

part 3 )

displacement = 0

0 = u*4 - 1/2*g*(4)^2

4u = 78.4

u = 19.6 m/s

part b )

at maximum height it will take half time of total time of flight

t = 2 s

y = 1/2(v+vo)t

at maximum height v = 0

y = 1/2(0 + 19.6) * 2

y = 19.6 m

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