Answer:
t = 1s and t = 2s
Step-by-step explanation:
We have the equation
where
and
Thus, the equation now becomes:
To solve, we must first equal the quadratic equation to zero
Solve this equation for t using the general formula for a quadratic equation
but in this case intead of x we have t.
Where a is the coefficient of the quadratic term.
b is the coefficient of the linear term, and c the independent term.
And now we substitute these values in the general formula:
Now, we are going to have two values for t due to the +- sign. Using the negative sign:
And using the positive sign:
At times t = 1s and t = 2s the object will it reach a height of 32 feet above the ground.