Mechanics

• What is the formula for final velocity in uniform acceleration?

  v = u + at
• What does the variable 's' represent in the equations of motion?

  Displacement
• What is the formula for displacement when acceleration is constant?

  s = ut + $\frac{1}{2}at^2$
• What is the formula relating final velocity, initial velocity, acceleration, and displacement?

  v^2 = u^2 + 2as

  
• Why is it useful to write out known values when solving motion problems?

  It helps choose the correct formula to use
• If a stone is dropped from a height of 50 m, what is its initial velocity?

  0 m/s
• What is the acceleration of a dropped stone?

  1. 81 m/s²
• How do you find the final velocity of a stone dropped from 50 m?

  Use v² = u² + 2as
• What is the final velocity of a stone dropped from 50 m?

  31.3 m/s
• How do you find the time of fall for a stone dropped from 50 m?

  Use s = ut + $\frac{1}{2}at^2$
• What is the time taken for a stone to fall 50 m?

  1. 19 s
• What is the difference between distance and displacement?

  Distance is scalar; displacement is vector
• What is speed defined as?

  Distance travelled per unit time
• What does velocity measure?

  Rate of change of displacement
• What is uniform acceleration?

  Constant acceleration of an object
• What does the area under an acceleration-time graph represent?

  Change in velocity

  
• What does the gradient of a velocity-time graph represent?

  Acceleration

  
• How can instantaneous velocity be found from a displacement-time graph?

  By calculating the gradient of the tangent

  
• How is average velocity calculated?

  Final displacement divided by time taken
• What distinguishes scalars from vectors?

  Scalars have magnitude; vectors have direction
• Give examples of scalar quantities.

  Distance, speed, mass, temperature
• Give examples of vector quantities.

  Displacement, velocity, force, acceleration
• Why must direction be specified for vectors?

  Vectors describe both magnitude and direction
• How can a vector be represented in writing?

  Bold letter, underlined letter, or arrow above
• What does resolving a vector involve?

  Splitting it into vertical and horizontal components
• How do you calculate the horizontal component of a vector?

  x = V cos θ
• How do you calculate the vertical component of a vector?

  y = V sin θ
• What is a good hint for using trigonometry with vectors?

  Use cos when moving through angle θ
• If a ball is fired at 10 m/s at 30°, what is the horizontal component?

  1. 7 m/s
• If a ball is fired at 10 m/s at 30°, what is the vertical component?

  5 m/s
• What is the purpose of a scale drawing in vector addition?

  To visually represent vectors and their components
• How do you add two perpendicular vectors?

  Use Pythagoras’ theorem for magnitude
• What is the resultant force of two perpendicular forces of 5 N and 12 N?

  13 N

  
• How do you find the direction of a resultant vector?

  Use trigonometry to calculate the angle
• What happens when two vectors are in the same direction?

  Add or subtract their magnitudes directly
• What is projectile motion?

  Independent vertical and horizontal motion
• What does Newton's first law state?

  An object remains at rest or constant velocity
• What does Newton's second law describe?

  Acceleration is proportional to resultant force
• How is resultant force calculated using Newton's second law?

  F = ma
• What is terminal velocity?

  When forces acting on an object are equal