V2.

13: A car weighing 3000kg is driving down a bridge at 80 km/h. In font of the car is a gap, with a short 15 degree incline before the gap.

a) Calculate the maximum length the car can reach if it maintains its speed as it leaves the ramp

b) Calculate the maximum length if the incline is changed to 5 degrees but the speed of the car increased to 125 km/h.

c) Which is further?

d) Assume the incline is 25 degrees and the car's speed is 70. An obstacle four meters high is placed 10 meters away from the incline. Does the car hit it? Prove your answer.

e) If the car does hit it, show the minimum length from the incline the obstacle must be for the car to avoid the obstacle. If it does not, show the minimum length the obstacle must be from the ramp for the car to hit it.