Final answer:
The initial velocity of the object is +15 m/s.
Step-by-step explanation:
The initial velocity of the object can be found by evaluating the velocity function at t = 0. Given that the distance function is 10t² + 15t + 5, we can find the velocity function by taking the derivative of the distance function with respect to time.
The derivative of 10t² + 15t + 5 is 20t + 15.
Evaluating this expression at t = 0 gives us the initial velocity. Plugging in t = 0 into the velocity function, we get V(0) = 20(0) + 15 = 15 m/s.
Therefore, the initial velocity of the object is +15 m/s, which corresponds to option d.
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