When a Mars-lander is 500 m above the surface of the planet (at t=0s), it has a downward speed of 10 m/s. It is falling with a constant downward acceleration of 3.7 m/s2. 10s later, the lander turns on its landing rockets. These provide a constant upward force. The rockets stay on for 30s until the lander gently touches the surface at 0 m/s. d) Draw graphs of the height y(t), vertical velocity v(t), and acceleration a(t). Assume that up is positive and the surface is at y=0. Make sure that the rockets turn on and the lander reaches the surface at the correct times. No calculations are required. You are only graded on the shape of your graphs. e) What is the velocity of the lander when the rockets turn on? f) What is the height of the lander when the rockets turn on? g) What is the acceleration of the lander while the rockets are on?