A rocket is launched vertically up from the ground from rest with a constant acceleration of 5ms-2. After T seconds, it ceases to accelerate and travels with a constant velocity for 21 seconds, reaching a height of 1 km above the ground.
Draw a velocity-time graph for the vertical motion of the rocket for the time it takes to reach a height of 1km.
(2 Marks)
Find the value of T
(5 Marks)
At the point the rocket reaches 1km above the ground a panel becomes detached from the rocket and falls to the ground.
(i) Find the velocity the panel hits the ground
(ii) Select a modeling assumption you have used which limits the accuracy of your answer and justify why the answer would differ if this were taken into account. (4 Marks)