Constant Acceleration and Velocity Equations in Physics

What is the formula used to express the velocity of an object experiencing constant acceleration?

a) V = Vi + A

b) V = Vi + At

c) V = Vi * A

d) V = Vi * At

Answer:

The correct formula to express the velocity of an object experiencing constant acceleration is V = Vi + At.

The formula V = Vi + At is used to express the velocity of an object experiencing constant acceleration. It computes the velocity at any time by summing the initial velocity and the product of acceleration and time. This formula is important in Physics as it shows the correlation between velocity, acceleration, and time.

Explanation:

To showcase that the velocity of an object, V, in the case of constant acceleration, A, can be expressed as V = Vi + At, we can simply utilize the given Equation 2.3 from the lab manual. This equation defines that, for any object experiencing constant acceleration, velocity at any point is the sum of the initial velocity and the acceleration multiplied by time. If we take an example, we see that this equation holds true. We can consider an object picking up velocity from 30 to 60 km/h at a constant acceleration. This means that our average velocity during the consistent increase is the average of the initial and final velocities, giving us 45 km/h. Using the formula V = Vi + At, it computes perfectly. Furthermore, the mentioned equation also offers insight into the relationships between velocity, acceleration, and time. For instance, it shows that the final velocity depends on the magnitude and duration of acceleration. Thus, understanding the equation V = Vi + At is important in physics, specially while studying motions with constant accelerations.