On another planet, Jim throws a ball directly up into the air. The velocity of this ball is a linear function of t. He finds that the velocity of the ball at 1 second is 44 meters/second. At 4 seconds, it is -49 meters/second.
a.) Find v(t), the velocity of the ball at time t seconds.
b.) Find a(t), the acceleration of this ball at time t seconds.
c.) Given that Jim lets the ball go at a height of 1.5 meters, find h(t), the height of the ball in meters at time t seconds.
This shows how to use a function to find velocity, acceleration, and height.