6.2 seconds The height, h, in feet of an object above the ground is given by h = −16t2 + 64t + 160, where t is the time in secon
ds. How long does it take the object to hit the ground? (to the nearest tenth of a second)
A)
5.1 seconds
B)
5.3 seconds
C)
5.7 seconds
D)
6.2 seconds
1 answer:
ANSWER
C) 5.7 seconds
EXPLANATION
The height of the object is given by:
If the object hit the ground, then the height is zero.
Divide through by -16
Where a=1, b=-4 and c=-10
We substitute into the quadratic formula to obtain,
t=2-√14 or t=2+√14
Time cannot be negative.
Hence, t=5.7 seconds to the nearest tenth.
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