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- For the case of freefall, explain how to calculate the total distance traveled and the instantaneous velocity for an object that is dropped from rest by applying the fundamental meaning of acceleration and by using the two equations: Vavg=(vf+vi)/2 and d=vavg*t. Is this method applicable only for the case of freefall and with an initial velocity of zero, or is it always applicable to cases where the acceleration of an object is constant and parallel, or antiparallel, to the direction of motion? Explain.A car starts from rest, then accelerates at a constant rate over a distance of 72 m. It then immediately decelerates at a constant rate over a distance of 141 m. The entire trip lasts a total duration of 13.7 s. What were the magnitudes of the car s accelerations for the speedup and slowdown stages respectively?The velocity – time curve for a point moving on a straight line is given by the equation: v = 4cos(πt/4) where v is in feet/second and t is in seconds If its its initial position is at time t = 0, how far does it move in the 3 seconds?
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- A rocket car is traveling at a constant speed of 250 km/h on a salt flat. The driver gives the car a reverse thrust, and the car experiences a continuous and constant deceleration of 8.25 m/s^2. How much time elapses until the car is 175 m from the point where the reverse thrust is applied? Describe the situation for your answer.A UCI student is running at her top speed of 5.1 m/s to catch a Shuttle bus, which is stopped at the bus stop. When the student is still a distance 42.0 m from the Shuttle bus, it starts to pull away, moving with a constant acceleration of 0.163 m/s2 .For how much time does the student have to run at 5.1 m/s before she overtakes the bus?Problem 1: WHat is the numerical value of the rate under which the free-falling object changes its speed? Problem 2: Consider the equation y= 7.57x^2 + 5.32x + 1.48 that is being displayed on a position vs. time plot for an accelerated object. What is the value of acceleration? What is the value of the initial speed? What is the starting position of this object?