Answer :
Final answer:
The height of the object after 4.3 seconds is found by utilizing the formula for displacement in kinematics, giving a result of approximately 87m. Therefore, the correct answer is (C).
Explanation:
To determine the height of the object after 4.3 seconds, we must use the formula for displacement in kinematics:
h = ut - 0.5gt^2
Where:
- h is the height,
- u is the initial velocity,
- t is the time, and
- g is the acceleration due to gravity, which is approximately 9.81 m/s^2.
In this case:
- u = 45 m/s,
- t = 4.3 s,
- g = 9.81 m/s^2.
Substituting these values into the formula, we get:
h = (45 m/s)(4.3 s) - 0.5(9.81 m/s^2)(4.3 s)^2.
When calculated, this gives a height of approximately 87 m. Therefore, the object is approximately 87 m high after 4.3 seconds, making the correct answer choice (C).
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