Accelerated Motion Problems
1. For the motion described, graph the position vs. time, velocity vs. time, and acceleration vs. time, on the grids provided.
For each of these intervals, (a)-(d), you need to figure out the position (height) and velocity of the rocket at the beginning and the end of the interval, and the acceleration for the interval. In addition, for interval (b) you need to figure out the maximum height reached by the rocket and the time at which it occurs. For interval (d) you need to figure out its duration, that is to say, the time at which the rocket hits the ground.
You should break up your solution into four parts, (a)-(d), and for each part show all the work involved in your calculations, then use the paper provided to draw the corresponding graphs.
(a) A rocket is shot upwards, accelerating from rest to a final velocity of 20 m/s in 1 s as it burns its fuel. (Treat the acceleration as constant during this interval.)
(b) From t = I to t = 4 s, the fuel exhausted, the rocket flies under the influence of gravity alone. At some point during this time interval (you need to figure out when!) it stops climbing and starts falling.
(c) At t = 4 s a parachute opens, suddenly causing an upwards acceleration (again, treat it as constant) lasting 1 5; at the end of this interval, the rocket's velocity is 5 m/s downwards.
(d) The last part of the motion, with the parachute deployed, is with constant velocity of 5 m/s downwards until the rocket hits the ground.