a. An RC car is carrying a tiny slingshot with a spring constant of 85 N/m at 0.2 m off the ground at 5.6 m/s. The sling shot is pulled back 3.5 cm from a relaxed state and shoots a 25 g steel pellet in the same direction the car is moving. What is the velocity of the steel pellet relative to the ground as it leaves the sling shot?

b. A 2000. N roller coaster cart is initially at rest at the top of the first big hill, which is 35 m off the ground. The ride contains the Stomach Riser, a 90 drop in the middle of the ride. Assuming no friction, how fast is the cart moving at any of the 5 ground level stretches during the ride?

c. A 1500 N roller coast cart is initially moving at 5.0 m/s on a flat stretch of track 25 m above ground. Assuming no friction, how fast is the cart moving on a stretch of tract only 8.5 m off the ground?