One Dimensional Motion Review Chapter 2 Name Period I will be supplying you with the equation sheet that will have the chapter 2 equations available. Be sure to show all work where appropriate. (GUESS) EXPLANATIONS 1. What do these variables mean and what units are they measured in? Δt = time in seconds vf = Δx = a= vi = Δy = 2. Explain the difference between velocity and acceleration. Make sure to include what their units. 3. Show how the units cancel out when you divide velocity by acceleration. What unit do you end up with? DISTANCE VS. TIME and SPEED VS. TIME GRAPHS 4. Explain in general what you would need to do to match a graph that looks like the one to the right. 5. a. For a distance vs. time graph the slope is in units of ________________, so it represents the object’s . b. A flat line with a slope of zero on a distance vs. time graph tells you that the object is . c. If the line is curved on a distance vs. time graph this tells you that the object is 6. a. For a speed vs. time graph the slope is in units of . , so it represents the object’s . b. For a speed vs. time graph the area under the line is in units of the object’s , so it represents . c. A flat line with a slope of zero on a speed vs. time graph tells you that the object is . 1 7. Ms. Martinson is chasing after a student that is eating a Hershey bar in the academic wing. Use her speed vs. time graph to answer the questions below. a. Describe what Ms. Martinson is doing for the first 20 seconds. Calculate the slope. b. Describe what Ms. Martinson is doing from 20-30 seconds. What is the slope? c. Describe what Ms. Martinson is doing from 30-40 seconds. Calculate the slope. d. Calculate how far Ms. Martinson traveled during the chase using equations from the area under the graph and by using equations from your equation sheet. using the area using equations 8. Use the following distance vs. time graph to answer the questions below. a. Describe what the biker is doing for the first 30 seconds. Calculate the slope. b. Describe what the biker is doing from 30-120 seconds. Calculate the slope. c. Describe what the biker is doing from 120-150 seconds. What is the slope? d. Calculate how far the biker traveled during the 150 seconds using the graph above. 2 1-DIMENSIONAL MOTION EQUATIONS 9. a. Calculate how long it would take a rock with a mass of 1 kg to fall 1 meter on the earth. b. Calculate how long it would take a feather with a mass of 0.05 kg to fall the same distance as the rock. c. Explain when our equations are most accurate. 10. A toy car rolls with an initial velocity of 2.1 m/s. a. If the car has a constant acceleration of 0.22m/s2, what is its velocity after 3 seconds? b. How far did it travel in this time? Solve this problem using ∆y = vi ∆t + ½ a ∆t2. 11. Find a sports car’s acceleration in m/s2 if it goes from 0.0 to 60.0 mph in 8.2 seconds. 12. A proton is accelerated uniformly from rest to a speed of 3.50 x 107 m/s a. If the proton’s acceleration was 4.00 x 1012 m/s2, how far did it travel while being accelerated? b. How long did it take to attain that final speed in part a? Solve this problem using 2 different equations to get the same answer. one equation another equation 3 13. a. A rocket is traveling at 100 m/s. How far does it travel in 5 seconds? b. Sketch a speed vs. time graph and show how you would find that distance from the graph. 14. A soccer ball is thrown straight up in the air. If it takes 8.0 seconds total to go up and come back down, calculate the maximum height of the soccer ball. (You can assume it leaves and comes back down to the same height.) 15. A frustrated physics student drops his book off a cliff and it hits the ground 3.00 seconds later. a. Calculate the speed with which the book hits the ground. b. Calculate the distance it fell using two different equations. one equation another equation 4