Given that Martin throws a ball straight up in the air.
The equation gives the height of the ball, in feet, t seconds after martin releases it.
We need to determine the time that it takes the ball to hit the ground.
<u>Time taken:</u>
To determine the time 't', let us equate h(t) = 0 in the equation
Thus, we have;
Switch sides, we get;
Now, we shall solve the equation using the quadratic formula.
Thus, we have;
Solving, we get,
Cancelling the common terms, we get,
Thus, the roots of the equation and
Simplifying the roots, we get,
and
and
Since, t cannot take negative values, then
Hence, It takes 2.6 seconds for the ball to hit the ground.