A cat is sleeping on the floor in the middle of a 3.0 m wide room when a barking dog enters with a speed of 1.50 m/s. As the dog enters, the cat immediately accelerates at 0.85 m/s2 toward an open window on the opposite side of the room. The dog is a bit startled by the cat and begins to slow down at 0.10 m/s2 as soon as it enters the room. How far is the cat in front of the dog as it leaps through the window?

The position of a toy car driving on a horizontal surface is given by x = 4.0m - (2.0m/s)*t + (1.5m/s^2 )*t^2 . a. Determine the position of the car at t=1.0s, 2.0s, and 3.0s. b. What is the average velocity over the time interval t=1.0s to t=3.0s? c. What is the instantaneous velocity at t=2.0s? d. Draw graphs each for the position (x) function versus time, velocity versus time, and acceleration versus time. Hand drawn-graphs are encouraged (for practice for the midterm), though computer generated is allowed as well. Make sure to be very specific in the details (labels, scales, units, where the intercepts are, etc.).

At a stop light, a truck traveling at 15 m/s passes a car as it starts from rest. The truck travels at constant velocity and the car accelerates at 3 m/s2. How much time does the car take to catch up to the truck? Group of answer choices 10 s 25 s 15 s 20 s 5 s

A runner and a cyclist compete in a race over a straight course 20 km long. The runner runs at a steady speed of 10 m/s toward the finish line. The cyclist zips at a speed of 23 m/s toward the finish line for 12 km but upon seeing that he is already far ahead of the runner, he decides to stop and wait for the runner to catch up to him. The runner eventually reaches the cyclist and continues moving toward the finish line. The cyclist waits for a while after the runner passes and then cycles toward the finish line again at 23m/s.    Both the cyclist and the runner cross the finish line in the exact same instant. Assume both of them, when moving, move steadily at their respective speeds.  (a) How far is the runner from the finish line when the cyclist resumes the race?  (b) For how long in time was the cyclist stationery?

A hot air balloon has just lifted off and is rising at a constant rate of 2.0 m/s. Suddenly one of the passengers realizes she has left her camera on the ground. A friend picks it up and tosses it straight upward with an initial speed of 12 m/s. If the passenger is 2.5 m above her friend when the camera is tossed, how high is she above her friend when the camera reaches he ?

A single-engine air plain starts its engine at one end of the runway. It accelerates at a constant rate and takes off at 38 m/s after 20 seconds on the runway, just as it is running out of runway. How long is the runway? Your Answer:

The polar bear is an excellent swimmer, and it spends a large part of its time in the water. Suppose a polar bear wants to swim from an ice floe to a particular point on the shore. The bear dives into the water and begins swimming. As the bear swims, it tires and slows at a rate of 0.0122 m/s/s. By the time it reaches the shore, which is 40.1 m from where it dove into the water, its velocity is 2.13 m/s. How fast was the bear swimming when it first got into the water?   ____________m/s

A Boeing 747 "Jumbo Jet" has a length of 64.5 m. The runway on which the plane lands intersects another runway. The width of the intersection is 24.8 m. The plane decelerates through the intersection at a rate of 5.56 m/s2 and clears it with a final speed of 43.1 m/s. How much time is needed for the plane to clear the intersection?

You are driving your car along a country road at a speed of 23.6 m/s. As you come over the crest of a hill, you notice a farm tractor 25.0 m ahead of you on the road, moving in the same direction as you at a speed of 10.0 m/s. You immediately slam on your brakes and slow down with a constant acceleration of magnitude 7.20 m/s2.       How far is the tractor in front of you when you finally stop?

An astronaut is playing with a ping pong paddle and ball in zero gravity. The astronaut is 12 m from a flat wall and floating toward it at 4 m/s. A ping pong ball bounces back and forth between his paddle and the wall at 11 m/s. Eventually, the astronaut reaches the wall and traps the ball against it. Now treat the “bounce” somewhat realistically. If the bounce lasts 25ms, what is the average acceleration of the ball during this time? Give the magnitude only in m/s^2.