Physics: Acceleration and Motion

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What is the total displacement of John from his apartment to the street?

12 meters

22 meters

24 meters (correct)

40 meters

What is the average velocity of John from his apartment to the elevator?

0.56 m/s

0.57 m/s

0.55 m/s

0.54 m/s (correct)

What is the instantaneous velocity of an object?

The average velocity between two points on the path

The derivative of x with respect to t

The limit of the average velocity as the elapsed time approaches zero

All of the above (correct)

What is the direction of acceleration when an object slows down?

Opposite to the direction of motion Signup and view all the answers

What is the relationship between average acceleration and velocity?

Average acceleration is the rate at which velocity changes Signup and view all the answers

What can change in an object's motion when it accelerates?

Either its speed or direction, or both Signup and view all the answers

What is the graph of position versus time for an object moving with constant acceleration?

A parabola Signup and view all the answers

What is the limit of the average velocity as the elapsed time approaches zero?

Instantaneous velocity Signup and view all the answers

If an object has a constant negative acceleration, what will happen to its velocity?

It will eventually become zero and then reverse direction Signup and view all the answers

What is the formula to calculate average acceleration?

𝑎 = ∆𝑣/∆𝑡 Signup and view all the answers

What is the slope of the tangent line in a graph of velocity versus time?

Instantaneous acceleration Signup and view all the answers

What is the direction of acceleration when an object is slowing down?

Opposite direction to the velocity Signup and view all the answers

What is the functional form of acceleration given the functional form of velocity 𝑣(𝑡) = 20𝑡 − 5𝑡² 𝑚/𝑠?

𝑎(𝑡) = 20 − 10𝑡 𝑚/𝑠² Signup and view all the answers

What happens to the acceleration of an object as it approaches its maximum velocity?

It becomes zero Signup and view all the answers

What is the relationship between velocity and acceleration when an object is moving in the positive direction?

Velocity is in the same direction as acceleration Signup and view all the answers

What is the unit of average acceleration?

m/s² Signup and view all the answers

What can be said about the acceleration of a particle when its velocity is maximum?

It is zero Signup and view all the answers

What happens to the velocity of a particle when its acceleration is negative?

It decreases Signup and view all the answers

What is true about the motion of a particle with constant acceleration?

It is predictable using kinematic equations Signup and view all the answers

What is the relationship between the average and instantaneous accelerations when acceleration is constant?

They are always equal Signup and view all the answers

What is the formula for the final velocity of an object with constant acceleration?

v_f = v_0 + at Signup and view all the answers

What is the unit of acceleration in the problem of the airplane landing?

m/s^2 Signup and view all the answers

What is the type of motion described when an object falls in a gravitational field?

Free fall Signup and view all the answers

What is the purpose of kinematic equations in the study of motion?

To analyze the motion of an object with constant acceleration Signup and view all the answers