A parachute is used to deliver a box of supplies. The parachute is attached to the box.
the parachute and box are dropped from rest from a helicopter that is hovering at a height of 520 m above the ground
the parachute and box fall vertically and freely under gravity for 5 seconds, then the parachute opens
from the instant the parachute opens, it provides a resistance to motion of magnitude 3200 N
the parachute and box continue to fall vertically downwards after the parachute opens
the parachute and box are modelled throughout the motion as a particle \(P\) of mass 250 kg
Find the distance fallen by \(P\) in the first 5 seconds.
Find the speed with which \(P\) lands on the ground.
Find the total time from the instant when \(P\) is dropped from the helicopter to the instant when \(P\) lands on the ground.
Sketch a speed-time graph for the motion of \(P\) from the instant when \(P\) is dropped from the helicopter to the instant when \(P\) lands on the ground.