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Exam #1 40 points • There are four problems on this exam. Please do these problems on a separate sheet of paper. • Be thorough and explain everything as if you are teaching someone how to do each problem. • Zero points will be rewarded for variables and equations for major properties that were not discussed in lecture. • Each problem is worth 10.0 points and the numerical answers will be worth a small fraction of those points. Most of the points will be given out for the model. • Show all work .... and I mean all work. The only exception to this is if you have to use the quadratic formula. You do not have to show all work for the quadratic if you have a quadratic solver just make sure you indicate the formula. • Any exams that appear to be copies of other classmates work will result in zero points. • You will not be allowed to submit any work after the due date so do not wait until the last minute these problems may take a long time to answer properly. • Only upload files that are .jpeg, .jpg. or .pdf. Make sure I can read it. If I can't read it then zero credit will be given. • Don't bother googling these unless you know how hack into your instructor's brain (very messy and very much not desired.) • Happy Solving! Before turning your exam in ask yourself: • Did I show all equations fully with the correct variables as seen in lecture? • Am I using only equations that were used in the video lectures for all the major properties? • Did I manipulate equations before placing numbers into them? • Did I put the correct units next to all of my numbers in both the calculations and final answers? • Did I show all of my work? • Is my work organized and as neat as possible? • Did I upload a file that is readable by my professor? Useful Conversion Factors: 1 mile = 1609.34 m 1 min = 60.0 s

1. Rosie decides to go out to the grocery store to get some much needed ice cream. The grocery store is located on the same straight road as Rosie's house. Rosie starts her drive from rest and accelerates at 0.15 m/s 2 for 0.75 miles until she see a traffic light turn red up ahead and applies the brakes for 13.0 s until she comes to rest at the traffic light. She then waits for 3.0 minutes before the red light turns to green. The moment it turns green she increases her velocity for 0.5 miles until she reaches a velocity of 15.64 m/s. She then continues for 89.0 s with the same velocity (15.64 m/s) until her engine cuts off and she decelerates with a magnitude of 0.25 m/s 2 until she comes to rest. Use this information to complete the following: a) Create a table showing all the known variables over all six motions (consider the time she sits at the traffic light as one of those motions.) (1.0 point) b) Explain which of the six motions experience either an acceleration or deceleration. (1.0 point) c) Calculate the total distance that Rosie's car was able to travel. Give the answer in meters, m. (4.0 points) d) Calculate the amount of time the entire trip took. Give the answer in minutes, min. (4.0 points) 2. Frankie took Rosie's blue car keys by accident and Rosie has Frankie's purple car keys. Frankie is too lazy to walk up the stairs to Rosie's apartment so they decide to exchange the keys via Rosie's apartment window. Frankie throws the blue keys upward from her hand which is 2.0 m off the ground with an initial velocity of 12.0 m/s; at the same instant, Rosie drops the purple keys from a window that is 6.0 m above Frankie's throwing hand. Use this information to complete the following: a) Create a table showing all known values for both Rosie's blue car keys and Frankie's purple car keys. (1.0 points) b) At what height above the ground do the keys pass one another? (5.0 points) c) How long does it take Rosie to catch her blue keys if she catches it while it is still on the way up? (2.0 points) d) What is the impact velocity of the purple keys into Frankie's hand if she catches it at 2.00 m above the ground? (2.0 points)

3. Frankie walks the following path from her home. She starts out by walking 10.0 m at 25.0° West of North, then she walks 10.0 m due South, next she walks 5.0 m at 20.0° North of East, and finally she walks 18.0 m at 35.0° East of South to arrive at her destination. Determine the magnitude and direction of the resultant displacement of this journey. (10 points) 4. Two muscular kids are playing with a large ball in the street in front of several buildings. One of the kids decides to see if they can kick the ball onto the roof of one of the buildings. The top of the building they choose is at a height of 5.85 m above the ground and is a flat rooftop. They kick the ball at angle of 50.0° above the ground at a point 11.29 m from the building. It takes about 1.60 s to land on the roof of the building. Use this information to answer the following: a) Create a table showing all your known variables with values. (1.0 point) b) If the ball is at it's maximum height at the edge of the building, with what initial velocity was it kicked? (4.0 points) c) By how much does the all clear the building at it's maximum height? (4.0 points) d) How far from the edge of the building did the ball land on the flat roof? (1.0 points)

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