Final answer:
To calculate velocity, knowledge of the change in displacement and the time interval is essential. For final velocity, one needs initial velocity, acceleration, and time, using the formula v = v1 + at. The area under a velocity vs. time graph represents distance or displacement.
Step-by-step explanation:
To calculate velocity, which is a vector quantity, you need to know two key pieces of information: the change in position (displacement) and the change in time. The formula for velocity is v = Δd / Δt, where v represents velocity, Δd represents displacement, and Δt represents the time interval.
If you're looking to calculate the final velocity of an object after a period of acceleration, you will need the initial velocity (Vo), the acceleration (a), and the change in time. The final velocity (Vf) can then be calculated using the formula v = v₁ + at, where v₁ is the initial velocity and t is the time. This formula comes from the basic principles of average acceleration, where acceleration is the change in velocity divided by the change in time.
In the context of a velocity vs. time graph, distance and displacement can be found by calculating the area between the velocity curve and the time axis. To tackle these problems effectively, you'll first need to identify your known values, determine your unknowns, and then decide on the appropriate equations to use.