Representing Motion - AP Physics C: Mechanics
Card 1 of 30
Identify the term: The rate of change of velocity.
Identify the term: The rate of change of velocity.
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Acceleration. Rate of change of velocity.
Acceleration. Rate of change of velocity.
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State the formula for instantaneous velocity.
State the formula for instantaneous velocity.
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$v = \frac{dx}{dt}$. Derivative of position with respect to time.
$v = \frac{dx}{dt}$. Derivative of position with respect to time.
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What is the term for motion under the influence of gravity alone?
What is the term for motion under the influence of gravity alone?
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Free fall. Motion with only gravitational force acting.
Free fall. Motion with only gravitational force acting.
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Find the average velocity for a trip with $\Delta x = 50 \text{ m}$ and $\Delta t = 10 \text{ s}$.
Find the average velocity for a trip with $\Delta x = 50 \text{ m}$ and $\Delta t = 10 \text{ s}$.
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$v_{avg} = 5 \text{ m/s}$. Total displacement divided by total time.
$v_{avg} = 5 \text{ m/s}$. Total displacement divided by total time.
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Calculate the final velocity of an object with $v_i = 0$, $a = 9.8 \text{ m/s}^2$, $t = 3 \text{ s}$.
Calculate the final velocity of an object with $v_i = 0$, $a = 9.8 \text{ m/s}^2$, $t = 3 \text{ s}$.
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$v_f = 29.4 \text{ m/s}$. Using $v_f = v_i + at = 0 + 9.8(3) = 29.4$.
$v_f = 29.4 \text{ m/s}$. Using $v_f = v_i + at = 0 + 9.8(3) = 29.4$.
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Determine the centripetal acceleration for $v = 10 \text{ m/s}$, $r = 5 \text{ m}$.
Determine the centripetal acceleration for $v = 10 \text{ m/s}$, $r = 5 \text{ m}$.
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$a_c = 20 \text{ m/s}^2$. Using $a_c = \frac{v^2}{r} = \frac{100}{5} = 20$.
$a_c = 20 \text{ m/s}^2$. Using $a_c = \frac{v^2}{r} = \frac{100}{5} = 20$.
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What is the period of a circular motion with frequency $f = 2 \text{ Hz}$?
What is the period of a circular motion with frequency $f = 2 \text{ Hz}$?
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$T = 0.5 \text{ s}$. Period equals reciprocal of frequency: $T = \frac{1}{f}$.
$T = 0.5 \text{ s}$. Period equals reciprocal of frequency: $T = \frac{1}{f}$.
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Determine the linear velocity if $r = 0.5 \text{ m}$ and $\omega = 4 \text{ rad/s}$.
Determine the linear velocity if $r = 0.5 \text{ m}$ and $\omega = 4 \text{ rad/s}$.
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$v = 2 \text{ m/s}$. Using $v = r\omega = 0.5 \times 4 = 2$.
$v = 2 \text{ m/s}$. Using $v = r\omega = 0.5 \times 4 = 2$.
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Determine the time for $v_i = 0$, $a = 9.8 \text{ m/s}^2$, $v_f = 49 \text{ m/s}$.
Determine the time for $v_i = 0$, $a = 9.8 \text{ m/s}^2$, $v_f = 49 \text{ m/s}$.
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$t = 5 \text{ s}$. Using $t = \frac{v_f - v_i}{a} = \frac{49 - 0}{9.8} = 5$.
$t = 5 \text{ s}$. Using $t = \frac{v_f - v_i}{a} = \frac{49 - 0}{9.8} = 5$.
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Find the final velocity for $v_i = 15 \text{ m/s}$, $a = 4 \text{ m/s}^2$, $t = 5 \text{ s}$.
Find the final velocity for $v_i = 15 \text{ m/s}$, $a = 4 \text{ m/s}^2$, $t = 5 \text{ s}$.
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$v_f = 35 \text{ m/s}$. Using $v_f = v_i + at = 15 + 4(5) = 35$.
$v_f = 35 \text{ m/s}$. Using $v_f = v_i + at = 15 + 4(5) = 35$.
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What is the linear velocity if $r = 2 \text{ m}$ and $\omega = 3 \text{ rad/s}$.
What is the linear velocity if $r = 2 \text{ m}$ and $\omega = 3 \text{ rad/s}$.
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$v = 6 \text{ m/s}$. Using $v = r\omega = 2 \times 3 = 6$.
$v = 6 \text{ m/s}$. Using $v = r\omega = 2 \times 3 = 6$.
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What is the formula for average velocity?
What is the formula for average velocity?
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$v_{avg} = \frac{\Delta x}{\Delta t}$. Change in position divided by change in time.
$v_{avg} = \frac{\Delta x}{\Delta t}$. Change in position divided by change in time.
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What is the term for motion under the influence of gravity alone?
What is the term for motion under the influence of gravity alone?
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Free fall. Motion with only gravitational force acting.
Free fall. Motion with only gravitational force acting.
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Calculate the average acceleration for $\Delta v = 15 \text{ m/s}$, $\Delta t = 3 \text{ s}$.
Calculate the average acceleration for $\Delta v = 15 \text{ m/s}$, $\Delta t = 3 \text{ s}$.
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$a_{avg} = 5 \text{ m/s}^2$. Change in velocity divided by time interval.
$a_{avg} = 5 \text{ m/s}^2$. Change in velocity divided by time interval.
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Identify the SI unit for velocity.
Identify the SI unit for velocity.
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Meters per second (m/s). Standard unit in the International System.
Meters per second (m/s). Standard unit in the International System.
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State the equation for final velocity in uniformly accelerated motion.
State the equation for final velocity in uniformly accelerated motion.
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$v_f = v_i + at$. Kinematic equation for constant acceleration.
$v_f = v_i + at$. Kinematic equation for constant acceleration.
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What is the equation for displacement in uniformly accelerated motion?
What is the equation for displacement in uniformly accelerated motion?
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$s = v_i t + \frac{1}{2} a t^2$. Position equation for constant acceleration motion.
$s = v_i t + \frac{1}{2} a t^2$. Position equation for constant acceleration motion.
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What is the formula for velocity in terms of initial velocity, acceleration, and displacement?
What is the formula for velocity in terms of initial velocity, acceleration, and displacement?
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$v_f^2 = v_i^2 + 2as$. Kinematic equation without time variable.
$v_f^2 = v_i^2 + 2as$. Kinematic equation without time variable.
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Identify the term: The rate of change of velocity.
Identify the term: The rate of change of velocity.
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Acceleration. Rate of change of velocity.
Acceleration. Rate of change of velocity.
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Determine the centripetal acceleration for $v = 10 \text{ m/s}$, $r = 5 \text{ m}$.
Determine the centripetal acceleration for $v = 10 \text{ m/s}$, $r = 5 \text{ m}$.
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$a_c = 20 \text{ m/s}^2$. Using $a_c = \frac{v^2}{r} = \frac{100}{5} = 20$.
$a_c = 20 \text{ m/s}^2$. Using $a_c = \frac{v^2}{r} = \frac{100}{5} = 20$.
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Determine the linear velocity if $r = 0.5 \text{ m}$ and $\omega = 4 \text{ rad/s}$.
Determine the linear velocity if $r = 0.5 \text{ m}$ and $\omega = 4 \text{ rad/s}$.
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$v = 2 \text{ m/s}$. Using $v = r\omega = 0.5 \times 4 = 2$.
$v = 2 \text{ m/s}$. Using $v = r\omega = 0.5 \times 4 = 2$.
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Calculate the distance traveled with $v_i = 3 \text{ m/s}$, $a = 2 \text{ m/s}^2$, $t = 5 \text{ s}$.
Calculate the distance traveled with $v_i = 3 \text{ m/s}$, $a = 2 \text{ m/s}^2$, $t = 5 \text{ s}$.
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$s = 40 \text{ m}$. Using $s = v_i t + \frac{1}{2}at^2 = 3(5) + \frac{1}{2}(2)(25) = 40$.
$s = 40 \text{ m}$. Using $s = v_i t + \frac{1}{2}at^2 = 3(5) + \frac{1}{2}(2)(25) = 40$.
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Find the final velocity for $v_i = 15 \text{ m/s}$, $a = 4 \text{ m/s}^2$, $t = 5 \text{ s}$.
Find the final velocity for $v_i = 15 \text{ m/s}$, $a = 4 \text{ m/s}^2$, $t = 5 \text{ s}$.
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$v_f = 35 \text{ m/s}$. Using $v_f = v_i + at = 15 + 4(5) = 35$.
$v_f = 35 \text{ m/s}$. Using $v_f = v_i + at = 15 + 4(5) = 35$.
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What is the linear velocity if $r = 2 \text{ m}$ and $\omega = 3 \text{ rad/s}$.
What is the linear velocity if $r = 2 \text{ m}$ and $\omega = 3 \text{ rad/s}$.
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$v = 6 \text{ m/s}$. Using $v = r\omega = 2 \times 3 = 6$.
$v = 6 \text{ m/s}$. Using $v = r\omega = 2 \times 3 = 6$.
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State Newton's first law of motion.
State Newton's first law of motion.
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An object in motion stays in motion unless acted upon by a force. Objects maintain constant velocity without net force.
An object in motion stays in motion unless acted upon by a force. Objects maintain constant velocity without net force.
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State the formula for centripetal acceleration.
State the formula for centripetal acceleration.
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$a_c = \frac{v^2}{r}$. Acceleration toward the center of circular path.
$a_c = \frac{v^2}{r}$. Acceleration toward the center of circular path.
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What is the formula for angular velocity?
What is the formula for angular velocity?
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$\omega = \frac{\Delta \theta}{\Delta t}$. Rate of change of angular position.
$\omega = \frac{\Delta \theta}{\Delta t}$. Rate of change of angular position.
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State the definition of period in circular motion.
State the definition of period in circular motion.
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The time for one complete revolution. Time for object to complete one full cycle.
The time for one complete revolution. Time for object to complete one full cycle.
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What is the unit for angular velocity?
What is the unit for angular velocity?
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Radians per second (rad/s). Standard unit for rotational velocity.
Radians per second (rad/s). Standard unit for rotational velocity.
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Identify the formula that relates linear and angular velocity.
Identify the formula that relates linear and angular velocity.
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$v = r\omega$. Linear speed equals radius times angular velocity.
$v = r\omega$. Linear speed equals radius times angular velocity.
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