Final answer:
To calculate the velocity of an object at t = 5.0 seconds, we would typically use the equation v(t) = v0 + at. However, due to insufficient information in the question, it is not possible to provide a definitive velocity. If the provided formula v(t) = 5.0 m/s - t² is correct, then the velocity would be -20 m/s, but this is speculative without confirmation of the equation.
Step-by-step explanation:
The question seeks to find the velocity of an object at a specific time, which is t = 5.0 seconds. The given formulas and context suggest different scenarios for determining velocity, but relevant information for answering this question is insufficient without a clear equation of motion or context. Therefore, we cannot confidently provide the exact velocity at t = 5.0 seconds without additional details. Nonetheless, velocity is typically determined by the initial velocity plus the product of acceleration and time, expressed in the equation v(t) = v0 + at, where v0 is the initial velocity, a is the acceleration, and t is the time. However, if the equation provided in the reference is supposed to be v(t) = 5.0 m/s - t², we can calculate it as follows:
Using the formula where the initial velocity v0 is 5.0 m/s, and the deceleration is represented by a term -t², the velocity at t = 5.0 s would be:
v(5.0 s) = 5.0 m/s - (5.0 s)²
v(5.0 s) = 5.0 m/s - 25.0 m/s²
v(5.0 s) = -20.0 m/s (indicating the object is moving in the opposite direction to the positive reference direction chosen)
However, without the proper equation of motion given for the object, this result is based on assuming the equation from the context provided is correct. If another equation applies, the velocity would differ.