2.2. Kinematics

• Displacement is a vector quantity measured in meters
• What is acceleration measured in?

  m/s²
• Velocity is a scalar quantity.

  False
• Instantaneous velocity describes motion over time periods.

  False
• What is the acceleration of a car that increases its velocity from 0 m/s to 10 m/s in 5 seconds?

  2 m/s²
• A car travels 500 m north and then 300 m south. What is the total distance covered?

  800 m
• The cyclist's velocity is 0.5 km/min east.

  True
• Instantaneous velocity describes motion at a specific moment.


  True
• A car covers 100 meters in 10 seconds. What is its average velocity?

  10 m/s
• The equation for velocity-time is $v =$$u +$$at$
• A car accelerates from 0 m/s to 20 m/s in 5 seconds. What is its displacement?

  50 m
• The displacement-time equation relates displacement, initial velocity, acceleration, and time.

  True
• What is the acceleration of a car that goes from 0 m/s to 20 m/s in 5 seconds?

  4 m/s²
• What does the velocity-time equation relate?

  v, u, a, t
• How many variables do you need to know to apply the equations of motion?

  3
• The acceleration of the car in the third example is 4 m/s².


  True
• The displacement-time equation relates displacement, initial velocity, acceleration, and time.
• The final velocity of the car in the sixth example is 20 m/s
• In free fall, the acceleration due to gravity is approximately 9.8 m/s².
• The velocity-displacement equation in free fall is $v^{2} =$$u^{2} +$$2gs$.


  True
• What is the displacement of the ball after 2 seconds in the free fall example?

  -19.6 m
• What replaces acceleration in the equations of motion for free fall?

  Acceleration due to gravity
• What is the velocity-displacement equation for free fall?

  $v^{2} =$$u^{2} +$$2gs$
• The acceleration due to gravity is approximately 9.8 m/s².


  True
• Match the quantity with its description:

  Scalar ↔️ Magnitude only

  Vector ↔️ Magnitude and direction
• Scalar quantities have both magnitude and direction.

  False
• A cyclist rides 10 km east in 20 minutes. What is their speed in km/min?

  0.5 km/min
• How is instantaneous velocity calculated?

  Derivative of displacement
• What is the definition of instantaneous velocity?

  Velocity at a specific moment
• The formula for average velocity is \bar{v} = \frac{\Delta x}{\Delta t}</latex>


  True
• At 5 seconds, a ball's velocity is $\frac{dx}{dt} =$$15$ m/s. What is its instantaneous velocity?


  15 m/s
• The displacement-time equation relates $s$, $u$, $a$, and t
• The displacement-time equation is $s =$$ut +$$\frac{1}{2}at^{2}$. For the car in the example, the displacement is 50 meters.
• To apply the equations of motion, you need to know at least 3 of the 5 variables: s, u, v, a, t.

  True
• What is kinematics the study of?

  Motion without considering forces
• A car travels 100 meters north in 10 seconds. Its average velocity is 10 m/s north.
• A car travels 500 m north and 300 m south. Its displacement is 200 m north.
• Instantaneous velocity is determined by the derivative of displacement with respect to time.
• Scalar quantities have magnitude only.
• Vector quantities have both magnitude and direction.


  True