Question 4 (10 Points) Write a well-documented, Python program, hmwk 1Q4.py that simulates tossing a person hurling a rock horizontally, at a speed of v, - 10 m/s from a bridge 50m above the river. baseball, straight-up, in the air. The equation of motions are: x(t) = v,t and y(t) - 50-t. The physical parameter g - 9.8 Use Python lists to represent time t and the quantities x(t), y(t) *(t), and y(t). v, = 10 m/s Bridge Rock Trajectory 50 m Water Rock Toss Geometry Hints: Use the range-operator to form the time list from 0 to 3.2 seconds in increments of 100 ms. The list for y(t) will have one less element than the list for y(t). Accordingly, set the first term of y(0) = 0. Question 5 (10 Points) Write a well-documented, Python program, hmwk 1Q5.py that simulates the motion of a vehicle on the straight track. Use Python lists to represent time t and the quantities a(t) and v(t). The vehicle has a linear-acceleration between 0 and 10 seconds. The instantaneous velocity is v(t) = , a(r) dr. Acceleration of Vehicle 15 imels Vehicle's Acceleration Hints: Form the time list from 0 to 15 seconds in increments of 100 ms. An estimate of the velocity can be formed with a for-loop accumulating the sums. Accumulated Area Up To Time t Instantaneous Speed at Timet width of each rectange 0.1 (sec) height of each rectange a (t) acceleration ms