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AP Physics 1 - Unit 1: Kinematics | Test Review

1

Displacement (Δx)

Change in position of an object. Measured in meters (m).

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2

Velocity (v)

Rate of change of displacement with respect to time. Units: meters per second (m/s).

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3

Slope of Position-Time Graph

Represents velocity. Positive slope indicates forward motion, and negative slope indicates backward motion.

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4

Velocity Equation

where Δx = change in position, Δt = change in time.

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5

Position Equation

where y = position, slope = velocity, x = time, b = y-intercept (initial position).

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6

Displacement Equation

where x_{f} = final position, x_{i} = initial position, v = velocity, t = time.

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7

Graph Analysis - Tumble Buggy Moving Forward from +1m

**Graph Characteristics:**Positive slope, starting at +1m.**Motion Description:**Forward motion with constant velocity.

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8

Graph Analysis - Tumble Buggy Moving Back from 0m

**Graph Characteristics:**Negative slope, starting at 0m.**Motion Description:**Backward motion with constant velocity.

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9

Graph Analysis - Tumble Buggy Moving Backward from -2m

**Graph Characteristics:**Negative slope, starting at -2m.**Motion Description:**Backward motion with constant velocity.

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10

Graph Analysis - Tumble Buggy Changing Direction

**Graph Characteristics:**Combination of positive and negative slopes, indicating a change in direction.**Motion Description:**Initial forward motion, then changes direction to move backward.

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11

Final Velocity Equation

where v_{f} = final velocity, v_{0} = initial velocity, a = acceleration, t = time.

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12

Displacement Equation (Constant Velocity)

where Δx = displacement, v = velocity, t = time.

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13

Acceleration Definition

**Acceleration (a):** Rate of change of velocity with respect to time. Measured in meters per second squared (m/s²).

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14

Graph Area as Displacement

**Area under Velocity-Time Graph:** Represents displacement.

where b = time interval, h = velocity.

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15

Displacement Equation (Constant Acceleration)

where Δx = displacement, v_{0} = initial velocity, a = acceleration, t = time.

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16

Alternate Formulas for Displacement and Velocity

Uses both initial and final velocities to find displacement.

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17

Equation for Final Velocity Using Displacement

Relates initial and final velocities, acceleration, and displacement.

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18

Free Fall Final Velocity Equation

V_{f} = V_{0 }- gt

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19

Free Fall Distance Formula

Δy = v_{0}t - (1/2)gt^{2}

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20

Free Fall Final Velocity Formula Without Time

v_{f}^{2} = v_{0}^{2} - 2gΔy

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21

Gravity Velocity

-10 m/s^{2}

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