 # 1-D Kinematics Problems

## Transcribed Text

1. Starting stationary a car accelerates linearly at 25 ft/s2 for 2 seconds. It then drives for 10 seconds at that speed. Finally it decelerates to a stop linearly in 3 seconds. The entire path is horizontal. a. Concepts (setup): include a description of the setup of this problem (i.e., include at a minimum: a diagram of problem, a list of what is known/given and a list of what is to be found). b. Calculation (equation): What is the equation of this velocity function? c. Graph: Plot a graph of the resulting velocity VS. time function. d. Calculation: What is the distance traveled by this car from start to stop? 2. Consider a case where a ball thrown vertically from ground level with an initial velocity Vyo of 50 m/s. a. Concepts (Setup): What is the equation for the height of the bal(, h(t), at different times? Solution must include a description of the setup of this problem (i.e., include at a minimum: a diagram of problem, alist of what is known/given and a list of what is to be found). b. Calculation: Solve the quadratic equation for time it takes to return to the ground. c. Graph: Sketch a graph of h(t) vs. t 3. At time t = 0 a ball is thrown vertically from the top of the building at a speed of 56 ft/s, as shown in Figure 1. The height of the ball at time t is given by equation 1. h(t) - 32 + 56t - 162² a. Setup: Describe the of the setup of this problem (e.g., include a diagram of problem, a list of what is known/given ands list of what is being found). b. Calculation: Find the value(s) of the time t when h(t) =32 ft. Find the time required for the ball to hit the ground. Determine the maximum height of the ball c. Graph: Use the results of these calculations to sketch the height h(t) of the ball vs. time. d. Concepts: There three constants in equation 1 (32, 56, and 16). What physical meaning does each of these three numbers represent (e.g., initial velocity) and what are their units in this problem? Vve 56 ft/s h(t) 32 ft. I Figure 1: Diagram for problem 3. A ball is thrown vertically upward from the top of a building and then falls to the ground.

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