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enyata [817]
3 years ago
7

the quadratic function h (t)=-16t^2+150 models a balls height, in feet, over time, in seconds, after it is dropped from a 15 sto

ry building. From what height in feet was the ball dropped? After how many seconds did it hit the ground?
Mathematics
1 answer:
natulia [17]3 years ago
3 0
Hello! Lets solve this :)
So for the first question :
h(t) = -16t^2 + 150
h(0)= -16 (0)^2 + 150
h(0)= -16(0) + 150
h(0)= 0 + 150
h(0)= 150 feet

Second question
We need to find here the time when the ball hit the ground; or when the height h(t) is 0.
In equation form
h(t) --> 0=16t^2 + 150
16t^2 = 150
t^2=150/16
t= <span>√150/16
t= 5</span><span>√6/4
t= 5 (2.45)/4
t= 3.06 seconds
</span>
Hope this helps! If you have any other questions or would like further explanation just let me know! :)



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