Question

name: anthony date:______ hour: 5
velocity review guide

1. what is the difference between distance and displacement?
2. what is the difference between speed and velocity?
3. what do we mean when we say constant speed or constant acceleration?
4. what is the definition of acceleration?
5. how do we find the average speed of an object?

a. rearrange the equation to solve for time.
b. rearrange the equation to solve for distance.

1. how do we find the acceleration of an object?

Explanation:

1. Distance is a scalar quantity representing the total path length traveled. Displacement is a vector quantity representing the change in position from the starting - point to the ending - point, with both magnitude and direction.
2. Speed is a scalar quantity that measures how fast an object is moving (distance per unit time). Velocity is a vector quantity that includes both the speed of an object and its direction of motion.
3. Constant speed means the object moves at a steady rate without changing its speed value. Constant acceleration means the object's velocity changes by the same amount in each equal time interval.
4. Acceleration is defined as the rate of change of velocity. Mathematically, $a=\frac{\Delta v}{\Delta t}$, where $\Delta v$ is the change in velocity and $\Delta t$ is the change in time.
5. The average speed of an object is found by dividing the total distance traveled by the total time taken, $v_{avg}=\frac{d_{total}}{t_{total}}$.

• a. From $v = \frac{d}{t}$, we can rearrange to solve for time: $t=\frac{d}{v}$.
• b. Rearranging for distance gives $d = v\times t$.

1. The acceleration of an object is found by dividing the change in velocity ($\Delta v=v_f - v_i$, where $v_f$ is the final velocity and $v_i$ is the initial velocity) by the time interval ($\Delta t$) over which the change occurs, $a=\frac{v_f - v_i}{t_f - t_i}$.

Answer:

1. Distance is scalar (total path length), displacement is vector (change in position with magnitude and direction).
2. Speed is scalar (rate of motion), velocity is vector (speed + direction).
3. Constant speed: steady rate of motion; Constant acceleration: equal change in velocity per equal time interval.
4. Acceleration is the rate of change of velocity, $a=\frac{\Delta v}{\Delta t}$.
5. Average speed = total distance / total time. a. $t=\frac{d}{v}$. b. $d = v\times t$.
6. $a=\frac{v_f - v_i}{t_f - t_i}$