A 0.030kg toy car is pushed back against a spring based launcher. The spring constant of the spring is 222 N/m. The spring compresses 0.090m. The total distance the car travels is 2.509m.

a. Determine the velocity of the car once it leaves the spring.

b. Assuming no energy is lost to friction, the car now travels up a ramp that is angled at 40.0* above the horizontal. Determine the distance the car travels up the ramp.

c. Friction now acts along the flat surface only (=0.200). Determine the new height of that the car reaches.