1: In the Blackhawk landslide in California, a mass of rock and mud fell 460m down a mountain and then traveled 8 km
across a level of plain on a cushion of compressed air. Assume that the mud dropped with the free-fall acceleration due
to gravity and then slid horizontally with constant deceleration.
a. How long did the mud take to drop 460m?
b. How fast was it traveling when it reached the bottom?
c. How long did the mud take to slide the 8 km horizontally?
2: A pilot jumps out of a burning plane without a parachute. She reaches a speed of 120 km/h prior to impact. The pilot
can survive a 35 g deceleration. She falls onto a stack of loose hay. Assuming uniform deceleration to the bottom of the
haystack, how high a stack of hay is needed for the pilot to barely survive?
3: An archer fires an arrow that produces a loud noise when it strikes its target. The average velocity of the arrow is
150m/s. The archer hears the impact exactly 1 s after firing the arrow. If the velocity of sound is 340m/s, how far away
is the target?
4: The position of an object is related to time by x=At2-Bt+C, where A=8m/s2, B=6m/s, and C=4m. Find the instantaneous
velocity and acceleration as functions of time.
5: The acceleration of a certain rocket is given by a=Ct, where C is a constant.
a. Find the general position function x(t).
b. Find the position and velocity at t=5s, if x=0 and v=0 at t=0 and C=3m/s3.