Velocity is the rate of change of displacement over time, while acceleration is the rate of change of velocity over time. Both are calculated using specific variables, and average velocity involves considering various velocities and their total time.
a. **Velocity equals displacement divided by time:** True. Velocity is defined as the rate of change of displacement with respect to time.
b. **All velocities are "instantaneous" and occur only at a point in time:** False. Velocities can be instantaneous or average over a specific interval of time.
c. **Velocity and acceleration are calculated using the same variables:** False. While both involve time, velocity is calculated using displacement, and acceleration is calculated using the change in velocity.
d. **Acceleration equals change in velocity divided by change in time:** True. Acceleration is the rate of change of velocity with respect to time.
e. **Acceleration is always constant; it cannot vary:** False. Acceleration can vary, and an object can have changing acceleration.
f. **Average velocity can be found by using several velocities and their total time:** True. Average velocity is determined by the total displacement divided by the total time taken.