Britney throws an object into the air with an initial vertical velocity of 27 feet per second from a platform that is 10 feet above the ground. About how long will it take the object to hit the ground?

A.
1 second

B.
2 seconds

C.
3 seconds

D.
4 seconds

Question

Britney throws an object into the air with an initial vertical velocity of 27 feet per second from a platform that is 10 feet above the ground. About how long will it take the object to hit the ground?
 
 A.
1 second
 
 B.
2 seconds
 
 C.
3 seconds
 
 D.
4 seconds

anonymous · Answer

@g17 @mathstudent55 @~Jane_Doe~

anonymous · Answer

@whpalmer4

anonymous · Answer

did you come up with an equation?

whpalmer4 · Answer

the formula for the height is $$h(t) = -\frac{1}{2}gt^2 + v_0t + h_0$$where $$g = 32\frac{\text{ft}}{\text{s}^2}$$$$h_0 =10\text{ ft}$$$$v_0=27\frac{\text{ ft}}{\text{ s}}$$

whpalmer4 · Answer

If you solve that for the value of $t$ that makes $h(t) = 0$ and makes sense in this context, you'll have your answer.

anonymous · Answer

ok thanks :)

whpalmer4 · Answer

The height of the object is a parabola if plotted with time as the x-axis and height as the y-axis.  The vertex of the parabola is the maximum height it reaches, and the positive solution is where the parabola crosses the x-axis with a positive value of x.