1. Suppose that an object is
moving in the atmosphere according to the position equation x(t)
= 112 + 96t – 16t2.
a) Find its equation of
velocity.
b) At what time does it hit the
ground?
c) At what velocity does it hit
the ground?
2. A ball is thrown upwards
from the ground with an initial velocity of 96 feet per second.
a) How long does it stay in the
air?
b) What is its maximum height?
3. A baseball is dropped from a
height of 1024 feet.
a) What is its equation of
motion?
b) How long does it take to hit
the ground?
c) What is its velocity of
impact?
4. A bowling ball is dropped
from the Goodyear blimp. When it is
first sighted it is 2240 feet above the ground.
Two seconds later it is 2048 feet above the ground.
a) Find the equation of motion
given that t=0 is the time of first sighting.
b) How long after it was first
sighted does it hit the ground?
c) What is the velocity of
impact?
5. A ball is thrown upwards
from the ground and reaches a height of 256 feet.
a) Find the equation of motion
of the ball.
b) How long did it stay in the
air?