Coasting due West on your bicycle at 9.6 m/s, you encounter a sandy patch of road 6.7m across. When you leave the sandy patch your speed has been reduced by 3.8m/s to 5.8 m/s. a. Assuming the sand causes a constant acceleration, what was the bicycle’s acceleration in the sandy patch? Give both the magnitude and direction. b. How long did it take to cross the sandy patch? c. Suppose you enter the sandy patch with a speed of only 7.6 m/s. Is your final speed in this case 3.4m/s, more than 3.4m/s, or less than 3.4 m/s? Explain.

Pete and Sue, two reckless teenage drivers, are racing eastward along a straight stretch of highway. Pete is traveling at 98.0 km/h, and Sue is chasing him at 125 km/h. a. What is Petes velocity with respect to Sue? b. What is Sues velocity with respect to Pete? c. If Sue is initially 325 m behind Pete, how long will it take her to catch up to him?

An object is at x = 0 at t = 0 and moves along the x axis according to the velocitytime graph in Figure P2.40. (a) What is the objects acceleration between 0 and 4.0 s? (b) What is the objects acceleration between 4.0 s and 9.0 s? (c) What is the objects acceleration between 13.0 s and 18.0 s? (d) At what time(s) is the object moving with the lowest speed? (e) At what time is the object farthest from x = 0? (f) What is the final position x of the object at t = 18.0 s? (g) Through what total distance has the object moved between t = 0 and t = 18.0 s? Figure P2.40

Tadeh launches a model rocket straight up from his backyard that takes 4.50 s to reach its maximum altitude. (After launch, the rockets motion is only influenced by gravity.) a. What is the rockets initial velocity? b. What is the maximum altitude reached by the rocket?