4. A new type of roller coaster is being developed, and the designer asks you to determine whether it’s safe to ride. You know that 30s after the ride begins, the roller coaster speeds up from 10 m/s to 30 m/s in a time interval of 0.6s, then slows down to 0 m/s in 0.4s

a. A person can black out when acceleration exceeds about 60 m/s2 roller coaster safe to ride? Defend your answer.

b. What assumptions did you make while solving this problem?

c. What other physical quantities could you calculate here? Decide on at least one, and show how to calculate it.

5. A stunt car driver is trying out a brand new vehicle, so he tests it in a few different situations to see how it performs.

Situation A: The car travels at a constant speed of v = 20 m/s for 10s.

Situation B: The car speeds up from an initial velocity of vi = 0m/s to a final velocity of vf = 20 m/s in a time interval of ∆t = 10s.

Situation C: The car slows down from an initial velocity of vi = – 20m/s to a final velocity of vf = 0 m/s in a time interval of ∆t = 10s. (The car started out in reverse!)

Situation D: The car speeds up from an initial velocity of vi = 20m/s to a final velocity of vf = 40 m/s in a time interval of ∆t = 10s.

a. Predict which situation has the greatest acceleration and the greatest displacement..

b. Predict which situation has the least acceleration and the least displacement.

c. Graph each situation.

d. Calculate the acceleration for each graph.

e. Calculate the displacement for each graph.