1. Marty McFly needs to get "Back to the Future" with hisDeLorean. To do that he needs to reach 39.11 m/s (88 miles perhour) at the same time that lightning strikes the clock tower. He has a maximum acceleration of 4.444 m/s2.
a. What length of road does he need to reach 39.11 m/s?
b. How long before the lightning strikes the clock tower shouldMarty start to accelerate?
c. Marty starts to break immediately after reaching 39.11 m/s.He has a maximum braking acceleration of 10 m/s2, and75 m of road before he crashes into a store front. Can he stop in time?
2. Legolas is standing on the walls of Helm's Deep, which have a height of 6.1 m. There is an orc standing 100.0 m away on the ground. An arrow fired from Legolas' bow has an initial speed of90.0 m/s in the xdirection.
a. How long will it take Legolas' arrow to reach the orc?
b. What is the maximum height the arrow needs to reach?
c. At what angle must he aim to hit the orc?