A police car waits in hiding slightly off the highway. A speeding car is spotted by the police car traveling at speed s = 32 m/s. At the instant the speeding car passes the police car, the police car accelerates forward from rest at a constant rate of a = 3.94 m/s2 to catch the speeding car. Assume the speeding car maintains its speed. a) Write an expression for the time it takes for the police car to catch the speeding car. Use the variables from the problem statement for your expression.  b) How long, in seconds, does it take for the police car to catch the speeding car?

While driving at 45.0 mi/hr (20.1 m/s) on a straight portion of Route 9 West, Randi notices that the traffic light has turned red at the intersection directly ahead. Randi applies his brakes, slows his car down at a steady rate, and brings his car to rest, while traveling the 60.0 m distance to the stop line (at the red light). 21. While he is slowing down, the acceleration of Randi's car has a magnitude of A. 6.73 m, В. 16.9 m 2. 169 m/: А. С. 33,8 т D. 9.80 m E. 3.37 m / 22. How much time passes as Randi's car slows down from 45.0 mi/hr to 0 m/s? A. 20.68 s. B. 5.97 s. C. 2.66 s. D. 2.99 s. E. 0.596 s. 23. While Randi's car is slowing down, his car's acceleration is A. directed straight down towards the Earth's center. B. equal to zero. C. directed straight upwards. D. directed parallel to the car's velocity. E. directed antiparallel to the car's velocity.

A tourist being chased by an angry bear is running in a straight line toward his car at a speed of 6.25 m/s. The car is a distance d away. The bear is 21.3 m behind the tourist and running at 8.64 m/s. The tourist reaches the car safely. What is the maximum possible value for d? Vbear Number i Vtourist Units

A Ford passes a Toyota on the road (both vehicles are traveling in the same direction). The Ford moves at a constant speed of 30.5 m/s. Just as the Ford passes it, the Toyota is traveling at 15.3 m/s. As soon as the Ford passes the Toyota, the Toyota begins to accelerate forward at a constant rate. Meanwhile the Ford just keeps going at a steady 30.5 m/s to the east. The Toyota catches up to the Ford a distance of 103.8 m ahead of where the Ford first passed it. What was the magnitude of the Toyota s acceleration?     4.5 m/s^2     1.7 m/s^2     8.9 m/s^2     3.4 m/s^2

A motorcycle is following a car that is traveling at constant speed on a straight highway. Initially, the car and the motorcycle are both traveling at the same speed of 23.0 m/s, and the distance between them is 55.0 m. After t₁ = 3.00 s, the motorcycle starts to accelerate at a rate of 7.00 m/s². The motorcycle catches up with the car at some time t2. Figure 1 of 1 car motorcycle x(1) car x(1) x(1) BRE car motorcycle motorcycle A time с time time motorcycle x(1) car car LE motorcycle B time D time How long does it take from the moment when the motorcycle starts to accelerate until it catches up with the car? In other words, find t₂ - t₁. Express the time numerically in seconds using three significant figures. ► View Available Hint(s) VE ΑΣΦ ? t₂-t₁= 1.58 Submit Previous Answers X Incorrect; Try Again; 4 attempts remaining Part C How far does the motorcycle travel from the moment it starts to accelerate (at time t₁) until it catches up with the car (at time t₂)? Should you need to use…

Ilya and Anya each can run at a speed of 7.60 mph and walk at a speed of 3.50 mph . They set off together on a route of length 5.00 miles . Anya walks half of the distance and runs the other half, while Ilya walks half of the time and runs the other half. a) Find Anya's average speed. b) How long does it take Ilya to cover the distance? (in minutes) c) Now find Ilya's average speed. Thanks

A circular racetrack has a distance of 755 m. A racer is currently driving her car on the racetrack. As she starts the car from rest, it begins to accelerate to a speed of 120 kph in 9 s. a. Determine the magnitude of the total acceleration of the car, 4 s after the car begins to increase its speed. b. If she maintains the speed of the car to be 120 kph, determine the magnitude of the total acceleration of the car after 5s. c. Upon accelerating to 120 kph, will the car pass its starting point? Prove using kinematic equations.

A distance of 60 meters separates two jetskis at Virginia Beach. Starting at rest, the jetskis accelerate at a constant rate of 0.2 m/s2 towards each other.Starting at a midpoint between the two jetskis, a porpoise is seen swimming from one jetski to the other at a constant speed of 16 m/s. The porpoise continues swimming back and forth between the jetskis until they crash together.a) What is the total distance the porpoise travelled? b) what is the speed of the jetskis when they crash together?

You and your family are going on a road trip to visit your recently married cousin in B.C. The total round trip distance is 2100 km. On the way to B.C., you encounter no setbacks and you are able to drive on average at a constant speed. On the way home from B.C., you encounter a snowstorm and your mom has to slow down to avoid getting into an accident. Thus, your average speed decreases by 10 km/h. If the total driving time was 42 hours, what was your average speed on the way to B.C.? Recall distance = speed x time.

A motorcycle officer hidden at an intersection observes a car driven by an oblivious driver who ignores a stop sign and continues through the intersection at a constant speed. The police officer takes off in pursuit 2.0s after the car has passed the stop sign. She accelerates at 4.2 m/s^2 until her speed is 110 km/h until she catches the car. The car is 1.4 km from the intersection. a) How long did it take for the officer to catch the car? b) How fast was the car traveling?