A car traveling at a speed of 25 m/s suddenly sees the red light 40 m ahead of him. The driver takes 0.75 s to react and slows the car down at a constant rate of 10 m/s². 1. How long does it take the car to come to a complete stop from the moment the break was applied? 2. Find the total time the car takes to come to a complete stop from the moment the driver first saw the red light. 3. Determine whether the car ran the red light.

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You are sitting in your car at a red light when you see a zombie standing still 65m in front of your car. You both begin to accelerate towards each other. Your car accelerates at 1.8 m/s^2 and the zombie accelerates at 0.6 m/s^2. How long does it take for you to strike the zombie?   Make sure to include a diagram of the physical situation, label known and unknown quantities with units, and coordinate system. Thanks!

Bill and Amy want to ride their bikes from their neighborhood to school which is 21.3 kilometers away. It takes Amy 38 minutes to arrive at school. Bill arrives 23 minutes after Amy. (Add Amy's time with 23 min to get Bill's time.) How much faster (in meters/second) is Amy’s average speed for the entire trip?  m/s (Convert km to m and min to sec)

A motorcycle begins at rest at t0 = 0 seconds. The motorcycle starts moving, and eventually covers a distance d = 840 m, in a time tf = 189 s. In a coordinate system with north being the positive x-direction, the motorcycle's motion is in the northern direction (see figure). 1. What was the motorcycle's average velocity in in the northern direction vavg,N, in this period in meters per second?  2.  If the motorcycle's final velocity at tf was 12 m/s, what was the motorcycle's average acceleration in the northern direction, aavg,N, during this period in m/s2?

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A truck is moving at +35.0 m /s when the driver sees a red light. In 2.60 seconds, the truck comes to a stop. A. Find the truck's acceleration (magnitude and direction). B. Find the truck's displacement(magnitude and direction).

3. A tennis ball is thrown up in the air. It's height is given by h(t) = -5t2 + 23t + 2, where h(t) is in meters and t is in seconds. Use technology to answer: a.) What is the max height of the tennis ball? When does it occur? b.) How long was the tennis ball in the air?

6. A train is moving with a constant speed. The train moves 60 meters for every 1.5 seconds that elapses. a. Assume that we get 40 by dividing 60 by 1.5. What is the name that is commonly given to a quantity represented by this number 40? b. To denote the quantity completely, what additional information must be given besides the number 40? c. How would you interpret the number 40 in this instance? Your answer should mention distance and time. d. Use your interpretation (not algebra) to find the distance the train moves in 2.5 seconds.

A car is traveling due East at a rate of 36.2 kph and a train is due North at a speed of 74.70 kph and bound to meet at an intersection 1 km for the train and the car. a. Determine the acceleration of the car, If the car reaches the intersection 10 seconds ahead of the train. b. Determine the velocity of the car at the intersection.