1. A bicyclist is finishing his repair of a flat tire when a friend rides by with a constant speed of 4.0 m/s. Three seconds later the bicyclist hops on his bike and begins to follow the friend with an initial speed of 10 m/s. Assume the bicyclist continues at a constant speed of 10 m/s until he catches the friend. a) Calculate the time it takes to catch his friend. b) How fast is he moving when he catches his friend? c) How far did he travel to catch his friend?

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

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

6. A car starts from rest and accelerates at a rate of 1.8 m/s² West for 15s. It goes at a constant velocity for 50s and then accelerates at a rate of 2.1m/s² East for 10 s. Use West as the positive direction. a. Draw an acceleration graph for this situation. Remember to quantitatively label your axes. a (m/812) t(s) 0-15 15-65 65-75 b. What is the change in velocity for each time interval? Av (m/s) t(s) Draw a velocity graph for this situation. Remember to quantitatively label your axes. v (m/s) E t(s) d. What is the total displacement between t-Os and t= 75 s?

5. Draw a distance vs. time graph for Melinda’s journey. Her home is located at 0 meters.Melinda is riding her bike over to her friend Sara’s house to complete an assignment. Her friend lives 5 km away. She accelerates away from her home for250 m in the next 2.5 minutes. She then rides at a constant speed of 300 m/min for 15 minutes. Melinda sees Sara’s house approaching so she slows downuntil she reaches her destination in the next 2.5 minutes. She stays at Sara’s house for 30 minutes while they work on the assignment. It is time to go home,Melinda rides home at a steady speed of 250 m/min for 10 minutes. Melinda is getting tired so she slows down for 250 m during the next 5 minutes thenstops for 2.5 minutes to have a drink. Realizing it’s getting late, she had to speed up 1 km in the next 5 minutes then rides at a constant speed of 300 m/minfor 2.5 minutes. Almost home, she decelerates for the next 10 minutes until she reaches her house.

4. Marcus throws a rock straight up into the air. It leaves his hand 1.2 meters above the ground, and it hits the ground 3.5 seconds later. Find a. the initial speed of the rock when it leaves his hand b. the maximum height the rock reaches before falling back down, relative to the ground c. the speed of the rock right before it hits the ground

Include a picture or description of your coordinate system (origin, positive direction).

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?

1. Refer to the velocity-time graph of a jogger. The positive direction is away from the jogger's home. Rank the four distances for the time intervals, A, B, C, D in decreasing order. Explain your answer. 15 10 C 40 50 30 20 Time (s) 0. 10 20 (s/w) pe 25

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.