2. A test car travels in a straight line along the x-axis. The graph in Figure shows the car's position x as a function of time. Find its instantaneous velocity at points A through G.
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- AsapA car starts from rest. It accelerates at constant acceleration for 5.0 seconds during which the car covers a distance of 125 m. After that the car continues at that speed for 22 seconds, after which the car slows down at a constant deceleration of – 4.5 m/sec2 until coming to a complete stop. Draw a v vs t, graph, label all the relevant data, and use the graphical method to determine total distance traveled.A basketball is dropped from a walkway above Bartow Arena. It falls from rest with a constant acceleration of 9.8 m/s² until it reaches the floor 2.5 seconds later. A physics class is modeling the 1-D straight line motion as part of a class project They want construct a simple, but accurate, data table using the following equations: V₁+1 = V₁ + at and X₁+1 = X₁ + vi t which are familiar to you. Their instructor requires them to make the constant time interval▲t between rows in their table sufficiently small so that they have only a 4 percent error in the total distance traveled by the ball during the 2.5 seconds. What should be the value of At in their data table to cover the entire time interval and achieve the desired error?
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- 1. The acceleration of a car is given by a(t) = A – Bt + Ct² , where A = 1.0 m/s², B = 0.5 m/s³, C = 2.0 m/s“. The car is at rest at the origin at time t= 0. Find its position and velocity as a function of time. b. Sketch its position, velocity, and acceleration. a.1. Refer to the velocity-time graph of a jogger. The positive direction is away from the jogger's home. Rank the four distances for the time intervals, A, B, C, D in decreasing order. Explain your answer. 15 10 C 40 50 30 20 Time (s) 0. 10 20 (s/w) pe 25a. Find the velocity v(t) and acceleration a(t). b. At what value of t does v=0? c. What is the maximum height?