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Answer :
Final answer:
By substituting the value of 3 seconds in the given height-time equation, we find that the height of the football at this point in time is 156 units.
Explanation:
The height of the football at a particular time can be determined by substituting the time value into the given equation. In this case, h(t)=-16t^2+100t represents the trajectory of football. When time, t, is three seconds, this becomes h(3) = -16*(3)^2 + 100*3.
Computing this gives h(3) = -16*9 + 300 = -144 + 300 = 156. Hence, the height of the football after three seconds is 156 units, so the correct choice is (B) 156.
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