The rock with a formula: If from ground level we toss a rock upward with a velocity of 30 feet per second, we can use elementary physics to show that the height in feet of the rock above the ground t...

The rock with a formula: If from ground level we toss a rock upward with a velocity of 30 feet per second, we can use elementary physics to show that the height in feet of the rock above the ground t seconds after the toss is given by S = 30t − 16t 2 .

a. Use your calculator to plot the graph of S versus t.

b. How high does the rock go?

 c. When does it strike the ground?

d. Sketch the graph of the velocity of the rock versus time.