Remember that w<span>hen the ball hits the ground, s(t) = 0
</span><span>So we have: -16t^2 - 32t + 48 = 0 </span>
<span>It's time to determine t = (-(-32) +/- sqrt((-32)^2 - 4(-16)(48))) / (2(-16)) </span>
<span>t = (32 +/- sqrt(1024 + 3072)) / (-32) </span>
<span>t = (32 +/- sqrt(4096)) / (-32) </span>
<span>t = (32 +/- 64) / (-32) </span>
<span>t = (48 or -32) / (-32) </span>
<span>t = -1.5 or 1 </span>
<span>Since a negative number doesn't make sense, so t =1</span>
<span>Keep in mind that velocity is the derivative of the height, therefore: </span>
<span>s'(t) = -32t - 32 </span>
<span>s'(t) = -32*1 - 32 </span>
<span>s'(t) = -32 - 32 </span>
<span>s'(t) = -64 </span>
<span>So the answer 64 feet per second dwn</span>
Answer:
?
Step-by-step explanation:
Answer:
9.2 inches
Step-by-step explanation:
Given :
Area, A of rectangle = 36.8 in²
Base, b = 4 inches
height, h =?
The Area of a rectangle is given as :
A = base * height
36.8 = 4 * h
36.8 = 4h
h = 36.8 / 4
h = 9.2 inches
Height = 9.2 inches
