Na me: Period: Due Date: AP Physics I Homework - Segmented Motion 1. A ball is dropped from rest at the top ofa tall building. The ball is in free-Fall for the first [0' seconds of' its fall, and then afterward travels with constant velocityr [called "reaching terminal velocity") for an additional 5 seconds. Assume that the acceleration of gravity is 1|] 111553. Y = JV" = 1": r = I: 1: F = I? = H] (a) Fill in the segmented motion diagram with given information. Then use logic and physics to fill in the missing blanks. 1n the space below, write a narrative explaining how you found each value of'v. dy. r. and a {except for given values]. [b] Draw graphs of the downward distance y the ball traveled and the hall's downward speed v as functions of time. Note that the ball starts at y = {l and down is positive. {c} State the height of the building and explain how the height can be found om rhe velocity vs. time graph. \fAP Fiestas I Homework Segmented Motion 3. A speeding motorist travels with a constant speed of'3 mfs on a straight road. At time 1 = {1. he passes a hidden police car which is at rest. The instant that the motorist passes, the police car begins accelerating al a constant rate of'4 nits2 in order to catch the motorist. (a) What quantityr of motion do the motorist and police car both have equal to each other at the instant the police car catches the motorist? (b) Draw a graph of velocity vs. time for both the motorist and the police car. Label each one either \"motorist" or \"police\". Both graphs should end at the time at which the police car catches the motorist. Minis) 50 40 L... 30-" 20 .L. 10-" 0' 5 10... i5 li'20 {c} In a narrative. fully explain the thought process that you used to construct the above graph. A full-credit response would show understanding of important motion principles and would include explicit statements of how much time it took for the police car to catch the motorist, hovir fast the police car was moving upon reaching the motorist, and how far the police car had to travel to catch the motorist. AP Pirates- ! Homework Segmented Motion 4. The Texas Driver's Handbook has a section dealing with making emergency.r stops. The handbook S. I [a] Draw a graph of the indicates that, once it is clear that an emergency stop is required, it takes the average driver 1.5 seconds to move their foot from the gas pedal to the brake pedal {this is called the \"thinking time"}. Once the brake pedal is fully applied1 the average car decelerates at a rate of?II mars2 {during what is called the \"braking time"]. Suppose an average car moves with an initial speed of3 mph [14 mfs}. A child runs out into the street ahead of the car. The driver takes time to react to the child's presence in the roadway and then slams on the brakes in order to stop. velocityr of the car as a function oftime, where t= {l is the moment the child mns into the roadway. Be sure to include thinking lime and braking time. Label this graph A. l {b} State the total time it took to stop the car and the total distance traveled by the car after the child ran into the roadway, Explain how the graph was used to nd these quantities. [c] A student learning about emergency stops makes the following claim: \"I bet that if'the car was going twice as fast1 it would take twice as much lime to stop the car, and the car would travel twice as far." Make a verbal argument that evaluates whether this claim is true, false, or partly truefpartly false. As part ofyour argument, make a new graph on the grid above and label this graph C. [fthe statement is not fully true, conclude with a statement that is fully true, describing whether the stopping time and-"or distance are more than doubled or less than doubled. Pointsoiven:[l)_un {2)_nc (3}_m1 [a] m]