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7) A speeding motorist traveling 30 m/s passes a stationary police officer. The officer immediately begins pursuit at a constant acceleration of 3 m/s². a) How much time will it take for the police officer to reach the speeder? b) What is the velocity of officer when he catches the speeder? c) Plot two graphs, show the displacement vs. time for both motorist and police in one graph and velocity vs. time for both of them in a the other graph.

S-1 pt S-1 pt 1. Jason is racing his dirt bike and comes out of a turn into a long straightaway going a velocity of 15m/s and accelerates at a rate of 2m/s^2. Jason accelerates for 6 seconds. How much distance does Jason cover in that time period? G-Given (what are the givens in the problem) * v-15m/s

The house, school, and diner are on the same street. The house is 820 ft from the school and 0.6 miles from the diner. Assume the positive direction is to the LEFT ←. If you start from the diner, head to the house, and then go back to the diner in 2 hr., what is your average velocity in cm/s to two significant figures? HH 188 A. 0.6 cm/s B. 26.8 cm/s C.-27 cm/s D. 0.0 cm/s E. none of the above SCHOOL DINER

Context The position of a peculiar fish as a function of time is given by the following equation. Time is in seconds, position is in meters, and the positive direction is to the right. x(t) = 2t3 + 12t2  - 72t The fish's position, velocity, and acceleration functions are x = 2t3 + 12t2 - 72t, v = 6t2 + 24t - 72, and a = 12t + 24.  Question: When, if ever, is the fish at rest? Drag the appropriate label(s) to the correct location(s) on the number line. Remember that it is the circle in the upper left corner of the label that must be in the correct place. Drag the period (.) to denote a single time; for example, t=0. Drag the left bracket ([) to denote the lower end of a range; for example, t>0. Drag the right bracket (]) to denote the upper end of a range; for example, t<0. Drag "none" anywhere near the line if the fish is never at rest. You may place as many of each symbol on the line as needed. See image attached:

You are driving at night on a straight path at 70MPH. Suddenly, a dog appears in your headlights 35 meters away. You immediatley apply the brakes which causes your car to slow down at a constant rate, coming to rest just before making contact with the dog.  1 mile = 1.61 km 1) How long did it take for your car to make a complete stop?  2) If you were initially driving in the 'positive x' direction, then what was your acceleration during the braking maneuver, in vector form and in m/s2?