The height of a free falling object at time t can be found using the function, h(t) = - 12t2 + 36t. Where h(t) is the height in feet and t is the in seconds. Find the time when the object hits the ground
2 answers:
For this case we have the following equation: h (t) = - 12t2 + 36t When the object hits the ground we have: - 12t2 + 36t = 0 We look for the roots of the polynomial: t1 = 0 t2 = 3 Therefore, the time it takes the object to hit the ground is: t = 3 s Answer: the time when the object hits the ground is: t = 3 s
Answer:
3 seconds is the time when the object hits the ground.
Step-by-step explanation:
Given the height of a free falling object at time t can be found using the function is given by:
....[1]
where,
h(t) is the height in feet
t is the in seconds.
We have to find the time when the object hits the ground.
⇒h(t) = 0
Substitute this in [1] we have;
⇒
⇒
⇒t = 0 and t = 3
Since, time cannot be 0.
⇒t = 3 seconds
Therefore, the time when the object hits the ground is, 3 seconds
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