If an object is thrown upward, its height h at time t is given by the equation?

Question

If an object is thrown upward, its height h at time t is given by the equation

where

= initial velocity

= initial height.

Suppose you drop your venti mocha frappuccino with whip from the roller coaster at Cedar Point amusement park in Sandusky, Ohio, when you are at its highest point, which is 420 feet above the ground.

a) What is the initial height of the drink?

b) What is its initial velocity?

c) Write the equation for the height at time t.

d) How long does it take the drink to reach the ground?

Answer 1

a) 420 ft

b) 0 m/s^2

c) height = Inital height in meters - gravity (9.8) x time

d) approx. 42.9 seconds