Two cars start from the same point in the same direction, but in the opposite direction. One starts to the right with a speed V1 = 7m / s and the other to the left with speed V2 = 9m / s. The latter, after advancing a distance d = 5m, turns sharply 360º and begins to chase the first car. Decide: a) At the end of what time it reaches it. b) How far from the starting point you can reach. c) The graph of the position as a function of time for both cars.

Mr. M needs to run off of a burning building. He is on the far-left side of the roof of the burning building. He starts from rest, accelerates at a rate of 0.25 m/s^2 across the entire distance of the roof of the burning building 4.88m. His goal is to make it to a safety net that is located on the ground. The height of the building is 4.27m and the net is located 2.45m away from the base of the burning building. Justify whether he will land in the net or not?

A model rocket is launched straight upward with an initial speed of 40.0 m/s. It accelerates with a constant upward acceleration of 1.50 m/s2 until its engines stop at an altitude of 180 m.  what is the max height reached by rocket? how long after liftoff does the rocket reach its max-height? how long is the rocket in the air?

A car accelerates in the +x direction from rest with a constant acceleration of a1 = 1.55 m/s2 for t1 = 20 s. At that point the driver notices a tree limb that has fallen on the road and brakes hard for t2 = 5 s until it comes to a stop. How far, in meters, from the original location of the limb will the car be when it stops?

You were playing POP POP crackers with your neighbor's kids. To show off your speed, you threw a POP POP cracker at an initial speed of 7.0 m/s downward. The height above ground where you let go of the cracker was about 1.0 m. The cracker popped upon impact with the ground. How long did the kids have between the throw (you let go of the cracker at its initial speed) and the pop (the cracker impacts the ground) to cover their ears and scream? You can assume the final position to be zero. The cracker has negligible amount of air drag. Hint: the cracker has a downward initial velocity. Please include enough significant figures (3 sig. figs.) to ensure your answer is within 5% of the correct answer.