Suppose a stone is thrown vertically upward from the edge of a cliff on Mars (where the acceleration due to gravity is only about 12 ft s 2 )with an initial velocity of 64 ft s from a height of 192 ft above the ground The height s of the stone above the ground after t seconds is given by s 6t 2 64t...

a vt st 12t 64 ftsec b The highest point is reached at the instant when the stone changes from mov ...

Suppose a stone is thrown vertically upward from the edge of a cliff on Mars (where the

Question:

Suppose a stone is thrown vertically upward from the edge of a cliff on Mars (where the acceleration due to gravity is only about 12 ft/s²)with an initial velocity of 64 ft/s from a height of 192 ft above the ground. The height s of the stone above the ground after t seconds is given by s = -6t² + 64t + 192.

a. Determine the velocity v of the stone after t seconds.

b. When does the stone reach its highest point?

c. What is the height of the stone at the highest point?

d. When does the stone strike the ground?

e. With what velocity does the stone strike the ground?

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