1.1 Motion in One and Two Dimensions

• What is the difference between a vector and a scalar quantity?

  Vector has magnitude and direction, scalar has only magnitude
• Velocity is a scalar quantity.

  False
• If a car travels 50 km east, its displacement is 50 km east
• What is displacement measured in?

  Meters
• Acceleration is measured in meters per second squared
• If a car travels 100 km east and then 50 km west, its total displacement is 50 km east.
• What is the only force acting on an object in projectile motion?

  Gravity
• A ball thrown at an angle of \(\theta = 45^\circ\) will cover a certain range
• Match the vector quantity with its definition:

  Velocity ↔️ Rate of change of displacement

  Acceleration ↔️ Rate of change of velocity

  Displacement ↔️ Change in position
• What does constant acceleration in one dimension mean?

  Acceleration remains constant along a straight line
• Constant acceleration in one dimension means the acceleration of an object remains constant along a straight line
• The SUVAT equation for final velocity is v = u + at</latex>
• The SUVAT equation for displacement is $s =$$ut +$$\frac{1}{2}at^{2}$, where $u$ represents initial velocity
• What is the acceleration of a car that goes from rest to 20 m/s in 5 seconds?

  $4 \, \text{m / s}^{2}$
• To solve projectile motion problems, you analyze the horizontal and vertical components separately.
• In projectile motion, the horizontal component experiences uniform motion, meaning constant velocity
• Match the vertical motion equation with its formula:

  v_{y}</latex> ↔️ $v_{0y} - gt$

  $y$ ↔️ $v_{0y}t - \frac{1}{2}gt^{2}$

  $v_{y}^{2}$ ↔️ $v_{0y}^{2} - 2gy$
• What is the horizontal component of velocity for a ball thrown at 25 m/s at 30 degrees?

  $21.65 \, \text{m / s}$
• What is the maximum height reached by a ball thrown with an initial vertical velocity of 12.5 m/s?

  $8.0 \, \text{m}$
• A vector quantity has both magnitude and direction
• A scalar quantity has only magnitude and no direction.
• Match the quantity type with its example:

  Vector ↔️ Velocity

  Scalar ↔️ Time
• What is the displacement if a car travels 50 km east?

  50 \, \text{km} \, \text{east}</latex>
• Displacement, velocity, and acceleration are all vector quantities.
• Velocity is defined as the rate of change of displacement
• What is the total displacement of a car that travels 100 km east and 50 km west?

  $50 \, \text{km} \, \text{east}$
• Projectile motion occurs when an object is launched into the air and experiences only gravity.
• What does the term "range" refer to in projectile motion?

  Horizontal distance
• What type of acceleration is assumed in the SUVAT equations?

  Constant
• A car accelerating at $2 \, \text{m / s}^{2}$ for 5 seconds reaches a final velocity of 10 m/s.
• The vertical component of projectile motion is affected by gravity.
• What is the time to reach maximum height for a ball thrown with an initial vertical velocity of 12.5 m/s?

  $1.27 \, \text{s}$
• Match the kinematic equation with its formula:

  Final velocity ↔️ $v =$$u +$$at$

  Displacement ↔️ $s =$$ut +$$\frac{1}{2}at^{2}$

  Velocity-Displacement ↔️ $v^{2} =$$u^{2} +$$2as$
• What is the acceleration of a car that starts from rest and reaches 20 m/s in 5 seconds?

  $4 \, \text{m / s}^{2}$