Displacement, Velocity, and Acceleration - AP Physics 1
Card 1 of 30
State the formula for average velocity.
State the formula for average velocity.
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$v_{avg} = \frac{\text{displacement}}{\text{time}}$. Displacement divided by time interval.
$v_{avg} = \frac{\text{displacement}}{\text{time}}$. Displacement divided by time interval.
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Which physical quantity is described by the slope of a position-time graph?
Which physical quantity is described by the slope of a position-time graph?
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Velocity. Rate of change of position with respect to time.
Velocity. Rate of change of position with respect to time.
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If an object is thrown upwards, what is its acceleration at the highest point?
If an object is thrown upwards, what is its acceleration at the highest point?
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$9.8 \text{ m/s}^2$ downward. Gravity acts continuously downward throughout flight.
$9.8 \text{ m/s}^2$ downward. Gravity acts continuously downward throughout flight.
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What does a flat line on a position-time graph indicate?
What does a flat line on a position-time graph indicate?
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No movement. Zero slope indicates constant position.
No movement. Zero slope indicates constant position.
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If velocity is zero, what can be said about displacement?
If velocity is zero, what can be said about displacement?
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Displacement may be zero or non-zero. Zero velocity doesn't determine displacement value.
Displacement may be zero or non-zero. Zero velocity doesn't determine displacement value.
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What happens to the velocity when acceleration is zero?
What happens to the velocity when acceleration is zero?
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Velocity remains constant. Zero rate of change means constant value.
Velocity remains constant. Zero rate of change means constant value.
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What is the result of integrating acceleration with respect to time?
What is the result of integrating acceleration with respect to time?
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Velocity. Integration of acceleration yields velocity.
Velocity. Integration of acceleration yields velocity.
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How does velocity change when acceleration is constant and non-zero?
How does velocity change when acceleration is constant and non-zero?
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Linearly. Constant acceleration produces linear velocity change.
Linearly. Constant acceleration produces linear velocity change.
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Identify the SI unit of velocity.
Identify the SI unit of velocity.
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Meter per second (m/s). Standard unit for rate of change of position.
Meter per second (m/s). Standard unit for rate of change of position.
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Find the displacement for $v_i = 10 \text{ m/s}$, $a = 0$, and $t = 3 \text{ s}$.
Find the displacement for $v_i = 10 \text{ m/s}$, $a = 0$, and $t = 3 \text{ s}$.
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$s = 30 \text{ m}$. Using $s = v_i t = 10(3)$ with no acceleration.
$s = 30 \text{ m}$. Using $s = v_i t = 10(3)$ with no acceleration.
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Find the acceleration given $v_i = 5 \text{ m/s}$, $v_f = 15 \text{ m/s}$, and $t = 2 \text{ s}$.
Find the acceleration given $v_i = 5 \text{ m/s}$, $v_f = 15 \text{ m/s}$, and $t = 2 \text{ s}$.
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$a = 5 \text{ m/s}^2$. Using $a = \frac{\Delta v}{t} = \frac{10}{2}$.
$a = 5 \text{ m/s}^2$. Using $a = \frac{\Delta v}{t} = \frac{10}{2}$.
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What does zero acceleration indicate about velocity?
What does zero acceleration indicate about velocity?
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Velocity is constant. Zero rate of change means no velocity change.
Velocity is constant. Zero rate of change means no velocity change.
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Describe the velocity-time graph for an object with constant acceleration.
Describe the velocity-time graph for an object with constant acceleration.
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Straight line with a slope. Constant acceleration produces linear velocity graph.
Straight line with a slope. Constant acceleration produces linear velocity graph.
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What is the instantaneous velocity at the peak of a projectile's trajectory?
What is the instantaneous velocity at the peak of a projectile's trajectory?
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$0 \text{ m/s}$ (Vertical component). Only vertical component is zero at maximum height.
$0 \text{ m/s}$ (Vertical component). Only vertical component is zero at maximum height.
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Describe the motion when acceleration is zero.
Describe the motion when acceleration is zero.
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Constant velocity. Zero acceleration means velocity doesn't change.
Constant velocity. Zero acceleration means velocity doesn't change.
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Find the average acceleration given $\text{change in velocity} = 10 \text{ m/s}$ and $t = 5 \text{ s}$.
Find the average acceleration given $\text{change in velocity} = 10 \text{ m/s}$ and $t = 5 \text{ s}$.
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$a_{avg} = 2 \text{ m/s}^2$. Using $a_{avg} = \frac{\Delta v}{t} = \frac{10}{5}$.
$a_{avg} = 2 \text{ m/s}^2$. Using $a_{avg} = \frac{\Delta v}{t} = \frac{10}{5}$.
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What is the formula for final velocity squared in uniformly accelerated motion?
What is the formula for final velocity squared in uniformly accelerated motion?
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$v_f^2 = v_i^2 + 2as$. Kinematic equation relating velocities and displacement.
$v_f^2 = v_i^2 + 2as$. Kinematic equation relating velocities and displacement.
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What does a horizontal line on a velocity-time graph indicate?
What does a horizontal line on a velocity-time graph indicate?
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Constant velocity. Zero acceleration means no change in velocity.
Constant velocity. Zero acceleration means no change in velocity.
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What is the effect on velocity if acceleration is opposite to velocity?
What is the effect on velocity if acceleration is opposite to velocity?
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Velocity decreases. Opposing acceleration causes deceleration.
Velocity decreases. Opposing acceleration causes deceleration.
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What is the formula for average acceleration?
What is the formula for average acceleration?
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$a_{avg} = \frac{\text{change in velocity}}{\text{time}}$. Change in velocity divided by time interval.
$a_{avg} = \frac{\text{change in velocity}}{\text{time}}$. Change in velocity divided by time interval.
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State the formula for average velocity.
State the formula for average velocity.
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$v_{avg} = \frac{\text{displacement}}{\text{time}}$. Displacement divided by time interval.
$v_{avg} = \frac{\text{displacement}}{\text{time}}$. Displacement divided by time interval.
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State the formula for instantaneous acceleration.
State the formula for instantaneous acceleration.
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$a = \frac{dv}{dt}$. Derivative of velocity with respect to time.
$a = \frac{dv}{dt}$. Derivative of velocity with respect to time.
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If a car decelerates, what is the sign of its acceleration relative to velocity?
If a car decelerates, what is the sign of its acceleration relative to velocity?
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Opposite sign. Deceleration means acceleration opposes velocity direction.
Opposite sign. Deceleration means acceleration opposes velocity direction.
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Find the displacement when $v_i = 0$, $a = 2 \text{ m/s}^2$, and $t = 3 \text{ s}$.
Find the displacement when $v_i = 0$, $a = 2 \text{ m/s}^2$, and $t = 3 \text{ s}$.
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$s = 9 \text{ m}$. Using $s = \frac{1}{2}at^2 = \frac{1}{2}(2)(3^2)$.
$s = 9 \text{ m}$. Using $s = \frac{1}{2}at^2 = \frac{1}{2}(2)(3^2)$.
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If velocity and acceleration have the same sign, what happens to speed?
If velocity and acceleration have the same sign, what happens to speed?
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Speed increases. Same direction means acceleration adds to speed.
Speed increases. Same direction means acceleration adds to speed.
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Find the final velocity when $v_i = 0$, $a = 4 \text{ m/s}^2$, and $t = 2 \text{ s}$.
Find the final velocity when $v_i = 0$, $a = 4 \text{ m/s}^2$, and $t = 2 \text{ s}$.
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$v_f = 8 \text{ m/s}$. Using $v_f = v_i + at = 0 + 4(2)$.
$v_f = 8 \text{ m/s}$. Using $v_f = v_i + at = 0 + 4(2)$.
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What is the relationship between initial velocity and displacement when acceleration is zero?
What is the relationship between initial velocity and displacement when acceleration is zero?
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Directly proportional. With zero acceleration, $s = v_i t$.
Directly proportional. With zero acceleration, $s = v_i t$.
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If an object is thrown upwards, what is its acceleration at the highest point?
If an object is thrown upwards, what is its acceleration at the highest point?
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$9.8 \text{ m/s}^2$ downward. Gravity acts continuously downward throughout flight.
$9.8 \text{ m/s}^2$ downward. Gravity acts continuously downward throughout flight.
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What does a negative value for displacement indicate?
What does a negative value for displacement indicate?
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Movement in the opposite direction. Negative indicates direction opposite to reference.
Movement in the opposite direction. Negative indicates direction opposite to reference.
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What is the formula for displacement with uniform acceleration?
What is the formula for displacement with uniform acceleration?
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$s = v_i t + \frac{1}{2}at^2$. Kinematic equation for position with constant acceleration.
$s = v_i t + \frac{1}{2}at^2$. Kinematic equation for position with constant acceleration.
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