quadratic equations

Question

Safiye dropped a ball from  meters above ground level with an initial velocity of  She knows that the gravitational pull of the Earth is about  meters per second squared.

Which quadratic equation would help Safiye to determine how many seconds,  it will take the ball to hit the ground?

Answer 1

The usual equation for this sort of thing is

s(t) = s₀ - v₀t - (1/2)gt²

where g is the acceleration due to gravity, 32 ft/sec/sec in the English system of units. t is the time in seconds, v₀ is the initial downward velocity (which would be 0 if the object were dropped or have some value if it were thrown downward), s₀ is the initial height and s(t) is the height of the object after t seconds.. This equation assumes motion downward, i.e. from a height toward the earth's surface.