2.) A buggy car starts at 10 m and travels in the +x direction with a constant velocity of 1.5 m/s for 4 s. The car immediately stops for 3 s and turns around and travels in the opposite direction with a constant velocity of 2 m/s for 10 s. a. Draw a position -vs- time graph and velocity -vs- time graph.

1. Rushin is waiting at a stoplight. When it finally turns green, Rushin accelerated from rest at a rate of a 2.00 m/s² for a time of 15 seconds. Determine the velocity of Rushin's car during this time period. -30 m/s? с. 7.5 m/s a. b. 30 m/s? d. 30 m/s 2. Ima is approaching a stoplight moving with a velocity of +30.0 m/s. The light turns yellow, and Ima applies the brakes and skids to a stop. If Ima has an acceleration rate of 8.00 m/s², determine the displacement of the car during the skidding process. 56.3 m cannot determine a. с. b. 240 m d. 4.3 m 3. A car slows down uniformly from a speed of 21.0 m/s to rest in 6.00 seconds. What was its average velocity? How far did it travel in that time? 10.5 m/s; 0.29 m 10.5 m/s; 63 m b. 21.0 m/s ;126 m a. с. d. cannot determine

2. The graph shows the x-velocity as a function of time of a cart on a ramped tilted at a small angle. You give the cart a push for 0.5 sec, after you release it, the cart goes up the ramp (+x) slowing as it goes until it comes to a momentary stop and then goes back down the ramp with increasing speed. You then catch it and bring it to a stop. a. How far has the cart moved when you stop pushing? b. What is the furthest distance the cart travels from its starting point? c. What is the x-acceleration of the cart while it is being brought to a stop? d. What is the x-acceleration while the cart it is going up and down the ramp without you touching it? Make rough graphs of the x and avs. time for the motion. You don't have to get everything precisely but make sure portions that are curved are curved, portions that are straight are straight, and portions that are flat are flat. Include numbers on the vertical axes to set the scale. (su) A x (m) ³, (m/s3 0.5 -0.5 61 4 2 time (sec) 0123 4 time…

13. The following graph illustrates the position vs time of a moving object. C Position A B. Use the graph to answer the following questions: a) In what interval(s) is the object moving towards the origin? b) In what interval(s) is the objects' velocity positive? c) When does the object change direction? d) Describe the motion on the interval E-F D E M Time F

Hicham El Guerrouj of Morocco holds the world record in the 1500 m running race. He ran the final 400 m in a time of 51.9 s. What was his average speed in mph over the last 400 m?A. 14.2 mph                      B. 15.5 mphC. 17.2 mph                      D. 23.9 mph

b. A car traveling at a constant speed of 33.5 m/s passes a trooper hidden behind a billboard. One second after the speeding car passes the billboard, the trooper sets off in chase with a constant acceleration of 3.30 m/s2. How long does it take the trooper to overtake the speeding car? Solve this problem by a graphical method. -On the same graph, plot position versus time for the car and the trooper. -From the intersection of the two curves, read the time at which the trooper overtakes the car.  (seconds)

We set the origin of a coordinate system so that the position of a train is x = 0 m at t = 0 s. Shows is the train’s velocity graph.a. Draw position and acceleration graphs for the train.b. Find the acceleration of the train at t = 3.0 s.

4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero. a. Vavg= -21 + 14ĵ m/s b. davg = 22ĵ C. m s² 2 t = = = 0.083 s 24

The superhero, Sashinator, flies directly upwards for 100m in 1 second, then slows down and flies upward another 50 m for another second and grabs the supervillain, MadMaya and immediately reverses direction and flies downward for 100m in 1 second. A 250 200- 200 200 150 100 50 2. 3. 2. T 23 1. Which graph, A, B or C, shows their displacement over time? Explain your answer. m/s up m/s up D. loo 100 50 2. 5-50 -104 2. What was Sashinator's average speed during this story? Show your calculations. 3. Which graph, D, E or F shows their speed over time? Explain your answer 4. Which graph, D, E, or F shows their velocity over time? Explain your answer 5. How is the graph of distance related to the graph of speed? 6. How is the graph of displacement related to the graph of velocity?

10. An object with an initial velocity of 1 m/s to the right is initially at x = 2 m. The objecť's acceleration is a = 2t³. a) Find an expression for the velocity of the object as a function of time, i.e. v(t). b) Find the position of the object as a function of time, i.e. x(t). c) What is the objecť's average velocity and average acceleration between t =1 and t=2 seconds?