Answer:
(B)3 seconds.
Step-by-step explanation:
The object will be on the ground when its height is zero.
Therefore given the height function:
[tex]h(t)=144-16t^2\\$When h(t)=0\\144-16t^2=0\\16t^2=144\\$Divide both sides by 16\\t^2=9\\t=3$ sec[/tex]
The object will be on the ground afyer 3 seconds.
It will take 3 seconds for the object to reach the ground from a height of h(t) = 144 - 16t²
Word problems involving the use of algebraic expression require a good step-by-step interpretation with the use of variables to effectively solve the problem and arrive at a valid answer.
From the given information:
The height of an object that is allowed to drop from freefall to the ground is:
At the time when h(t) = 0
0 = 144 - 16t²
16t² = 144
t² = 144/16
t² = 9
t = √9
t = 3 seconds
Learn more about algebraic expressions here;
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