Kinematics question?

Question

A helicopter is ascending vertically 5.5m/s. At a height of 105 above the earth, a package is dropped. How much time does it tkae for the packs to reach the ground?

- And -

Bond is standing on a bridge, 10m above the road below. He spots a flatbed truck loaded with mattreses approaching at 30m/s, which he measures that the telephone poles the truck is passing by are 20m apart. The bed of the truck is 1.5m above the road, and Bond quickly calculates how many poles away the truck should be when he jumps down the bridge onto the truck. How many poles is it?

Please show all work too, I am really confused. Thanks!

Answer 1

the first one is
-105=5.5*t-.5*g*t^2
solve for t
using g=10
5*t^2-5.5*t-105=0
5.16 seconds


Bond

Assuming the bed of the truck is at road level

he will fall according to
1.5=.5*g*t^2

The truck approaches at
d=30*t

the same t will result in Bond landing on the truck.
Divide d by 20

t=sqrt(.3)

d= 16.4 less than one

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