5. Joe decides to race his younger sister, Debbie, and gives her a 25 m head start. At the instant Joe starts running, his sister reaches a velocity of 14 m/s [W] while accelerating at 0.5 m/s² [W]. If Joe accelerates at a rate of 1.2 m/s² [W], how long does it take for him to catch up to his sister?

3. A satellite is launched from the surface of the earth at the initial speed of 8 km/s. How high will it go before it stops and starts falling back to the earth?

4. A car is driving at a speed of 25 m/s on a horizontal road. Determine the minimum distance in whichthe car will stop in each of the following cases.A. On a rainy day where µS = 0.125.B. On a sunny day where µS = 0.650.

Two locomotives 70 kilometers apart are travelling on the same track towards each other, Engine A moves at 22 kilometers per hour east and engine B moves at 13 kilometersper hour west. At the instant both trains begin moving, an annoying mutant fly beginsflying from engine A towards engine B at 33 kilometers per hour . The instant it touchesB, it turns around and flies back. It goes on this way until the two locomotives collideand the mutant fly is finally squashed. So, before its untimely demise, a) what is the total distance the fly flew? b) the time it took till  it was eliminated and c) the average velocity of the fly? how can i find this please

2. You wake up one morning to find yourself in a strange room with opaque walls, and no visible doors or windows. You decide to do some experiments to find out more about your strange situation. you drop a ball from a height of 1.22 m above the floor. The ball hits the floor 0.349 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)?     20.0 m/s^2     10.0 m/s^2     15.0 m/s^2     30.0 m/s^2

The 25-Mg boxcar A 16m/s to the right is coasting on the horizontal track when it encounters a 9-Mg car B coasting at 2m/s toward it. If the two cars meet and couple together, determin common speed in m/s just after the coupling. Please see details below. Rounding numbers to 2 decimal places at the end.

1. a 100kg astronaut (including the space suit) becomes untethered during a space walk and drifts to a distance of 10m from the mother ship. To get back to the ship, he throws his 2.5kg tool kit away with an acceleration of 8.0ms-1 that acts over 0.50s. a) How does throwing the tool kit away help the astronaut in the situation? b) How large is the fact that acts on the tool kit and the astronaut? c) With that speed will the astronaut drift to the mother ship? d) How long will it take for the astronaut to reach the ship?

2. Suppose we now have a little ball bouncing vertically and lightly on the trampoline. The ball's mass is 0.5kg. Air resistance is unchanged. At time t = 0, the ball again starts at height 0.6 m above the ground and the velocity of the ball is 0. Draw a graph of h(t) in this case and briefly explain your reasoning. Hint: you do not need to solve for y(t).

3. A speeding car going 30 m/s passes a police car that is at rest. At the moment the speeder passes, the police car pulls out and accelerates 4 m/s/s. The speeder continues going 30 m/s. Which is ahead and by how much after 10 seconds? When does the police car catch the speeder?