Final answer:
To calculate the instantaneous velocity of the object at a specific time, we need to find the derivative of the position function with respect to time. In this case, the velocity function is V(t) = 2t - 3. Substituting t = 10 into the velocity function gives us an instantaneous velocity of 17 m/s.
Step-by-step explanation:
To calculate the instantaneous velocity of an object at a specific time, we need to find the derivative of the object's position function with respect to time. In this case, the position function is L(t) = t² - 3t. Taking the derivative of L(t) gives us the velocity function V(t) = 2t - 3.
To find the instantaneous velocity at t = 10, we substitute the value of t into the velocity function: V(10) = 2(10) - 3 = 17 m/s.