Final answer:
The velocity of the object after 5 seconds is 9 m/s. The formula v = u + at is used to find the final velocity given an initial velocity of 24 m/s and a negative acceleration of -3 m/s² over the course of 5 seconds, signifying the object is decelerating.
Step-by-step explanation:
The question asks to calculate the velocity of an object after 5 seconds if it has an initial velocity of 24 m/s and an acceleration of -3 m/s². To find the velocity after a certain time with a given acceleration, we use the formula v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
In this case:
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- Initial velocity (u) = 24 m/s
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- Acceleration (a) = -3 m/s²
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- Time (t) = 5 s
Plugging these values into the formula gives:
v = 24 m/s + (-3 m/s²)(5 s) = 24 m/s - 15 m/s = 9 m/s.
Therefore, the velocity of the object after 5 seconds is 9 m/s. It is important to note that since the acceleration is negative, the velocity is decreasing over time, indicating that the object is slowing down.