1.1.4 Equations of Motion

• The SI unit for initial velocity is m/s
• What is acceleration defined as in equations of motion?

  Rate of change of velocity
• The variable 't' in equations of motion is measured in seconds
• The SI unit for displacement is meters
• In the first equation of motion, 'v' represents the final velocity
• What does the variable 't' represent in the first equation of motion?

  Time
• A car starting from rest accelerates to 20 m/s in 5 seconds. Its acceleration can be calculated using the variable t
• An object with an initial velocity of 5 m/s accelerates at 2 m/s² for 3 seconds. What is its final velocity using the first equation of motion?

  11 m/s
• Match the variable with its definition and SI unit:

  Final Velocity ↔️ Velocity at the end of motion (m/s)

  Initial Velocity ↔️ Velocity at the beginning of motion (m/s)

  Acceleration ↔️ Rate of change of velocity (m/s²)

  Time ↔️ Duration of motion (s)
• What is the final velocity of the object in the example problem?

  11 m/s
• Match the variable with its symbol and unit:

  Final Velocity ↔️ v (m/s)

  Initial Velocity ↔️ u (m/s)

  Acceleration ↔️ a (m/s²)

  Time ↔️ t (s)
• Match the variable with its symbol and unit:

  Displacement ↔️ s (m)

  Initial Velocity ↔️ u (m/s)

  Acceleration ↔️ a (m/s²)

  Time ↔️ t (s)
• Match the variable with its symbol and unit:

  Final Velocity ↔️ v (m/s)

  Initial Velocity ↔️ u (m/s)

  Acceleration ↔️ a (m/s²)

  Displacement ↔️ s (m)
• In the third equation of motion, v represents the final velocity.
• What is the acceleration of an object that accelerates from 2 m/s to 5 m/s over a distance of 6 meters?

  $1.75 \text{ m / s}^{2}$
• Which equation of motion relates final velocity, initial velocity, acceleration, and time?

  $v =$$u +$$at$
• What is the SI unit of initial velocity?

  m/s
• What is the first equation of motion?

  $v =$$u +$$at$
• If an object starts with an initial velocity of 3 m/s, accelerates at 2 m/s², and moves for 4 seconds, its final velocity is 11 m/s.
• Acceleration is the rate of change of velocity.


  True
• What does 'v' represent in the first equation of motion?

  Final velocity
• The second equation of motion is s = ut + \frac{1}{2}at^{2}
• The second equation of motion is s = ut + \frac{1}{2}at^{2}
• The third equation of motion is v^{2} = u^{2} + 2as
• The third equation of motion is useful when time is not known.


  True
• An object accelerates from 2 m/s to 5 m/s over a distance of 6 meters. What is the acceleration?

  1.75 m/s²
• What is the rearranged form of the third equation of motion to find acceleration?

  $a =$$\frac{v^{2} - u^{2}}{2s}$
• The third equation of motion is useful when time is not a known factor.


  True
• Steps to apply the equations of motion in problem-solving:

  1️⃣ Identify Variables

  2️⃣ Choose Equation

  3️⃣ Substitute

  4️⃣ Solve
• A car accelerates from rest at 3 m/s² for 5 seconds. How far does it travel?

  37.5 meters
• What does the variable 'v' represent in equations of motion?

  Final velocity
• The SI unit for acceleration is m/s²
• The variables in equations of motion describe different aspects of an object's motion and are used to calculate motion parameters.


  True
• What does the variable 'u' represent in the first equation of motion?

  Initial velocity
• The first equation of motion describes the relationship between initial velocity, acceleration, time, and final velocity.


  True
• What is the acceleration of a car that starts from rest and reaches a final velocity of 20 m/s in 5 seconds?

  4 m/s²
• The symbol a in equations of motion represents acceleration
• What are the given values in the example problem: initial velocity, acceleration, and time?

  u = 5 m/s, a = 2 m/s², t = 3 s
• Understanding the variables in equations of motion is crucial for solving problems related to linear motion.

  True
• What is the relationship described by the first equation of motion?

  v = u + at