Reference no: EM132591774

1. You're driving your car towards an intersection at a constant speed of 11.0 m/s. A Porsche is stopped behind the line at the red light. At the moment when you are 15.0 m from the line, the light turns green, and the Porsche begins to accelerate from rest at aconstant rate of 3.00 m/s2. You continue at the same constant speed.

(a) How many seconds after the light turns green do you pass the Porsche?

(b) How far (in meters) from the stop line do you pass the Porsche?

(c) As the Porsche keeps accelerating, it eventually catches up to you again. How many seconds after the light turns green does it pass you?

(d) How far (in meters) from the stop line does it pass you?

2. Suppose you are trying to cross from the South bank to the North bank of a river in your covered wagon. With all your earthly possessions, you are able to move your wagon at a speed of 1.3 m/s with respect to the water. The crossing is normally perfectly safe, but it's been a warm spring and the snow melt is causing the river to swell to 20.0 m wide and to flow quickly at 1.0 m/s to the west.

a) In what direction do you need to aim your wagon if you want to cross the river without drifting downstream or upstream? How quickly will you cross the river in this case?

b) In what direction do you need to aim your wagon if you want to cross the river in the shortest amount of time? How long will it take you to cross in this case?

3. It is raining outside. From the perspective of an observer standing on the ground, the raindrops are falling vertically downward at a speed of 12 m/s. You are driving down the highway at a speed of 65 mph (29 m/s). What angle, relative to the horizontal will you see the raindrops falling?