Use numerical or graphical techniques to estimate the peak force of the collision in the preceding problem, and determine when it occurs.
82. During a crash test, a car moving at 50 km/h collides with a rigid barrier and comes to a complete stop in 200 ms. The collision force as a function of time is given by F = at4 + bt3 + ct2 + dt, where a = −8.86GN/s4, b = 3.27 GN/s3, c = −362 MN/s2, and d = 12.5 MN/s. Find (a) the total impulse imparted by the collision, (b) the average collisional force, and (c) the car’s mass.
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