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Physics with Calculus: 1D and 2D Motion Review

컨트롤 버튼이 '내비게이션' 모드로 변경되었습니다.
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이 집합의 용어 (21)

  • Difference between vector and scalar quantities
    Vectors have magnitude and direction; scalars have only magnitude.
  • Identify: Velocity, Distance, Displacement, Speed, Acceleration, Time as vector or scalar
    Velocity, Displacement, Acceleration are vectors. Distance, Speed, Time are scalars.
  • How to find resultant displacement of a rabbit running 40 m east then 100 m north
    Use Pythagorean theorem: resultant = \(\sqrt{40^2 + 100^2}\).
  • Distance fallen by a pumpkin thrown downward at 8 m/s for 4 s
    Use \(d = v_i t + \frac{1}{2}gt^2\) with g = 9.8 m/s².
  • Velocity of pumpkin just before hitting ground after 4 s fall
    Use \(v = v_i + gt\) with g = 9.8 m/s².
  • Acceleration comparison at different points of a projectile's path
    Acceleration is constant and downward at −9.8 m/s² throughout the projectile's flight.
  • Velocity at the apex of a projectile's path
    Vertical velocity is 0 m/s at the apex; horizontal velocity remains constant.
  • Time to return to ground if projectile takes 2 s to reach apex
    Total time of flight is \(2 \times 2 = 4\) seconds.
  • Horizontal distance traveled by a car driving off a cliff at 40 m/s and air time 5 s
    Horizontal distance = velocity × time = \(40 \times 5 = 200\) m.
  • Height of cliff if car is in air for 5 seconds
    Use \(h = \frac{1}{2}gt^2\) with g = 9.8 m/s² and \(t=5\) s.
  • Acceleration sign during intervals of a car's speed increasing and decreasing
    Positive acceleration when speed increases, negative when speed decreases, zero when speed is constant.
  • Greatest positive acceleration interval from speed-time data
    Interval with largest increase in speed per time has greatest positive acceleration.
  • Zero acceleration interval from speed-time data
    Interval where speed remains constant has zero acceleration.
  • Negative acceleration interval from speed-time data
    Interval where speed decreases has negative acceleration.
  • Range comparison: arrow shot at 30° vs arrow shot horizontally
    Arrow shot at 30° travels a greater horizontal distance than one shot horizontally.
  • Vertical and horizontal acceleration at apex of projectile
    Vertical acceleration = −9.8 m/s², horizontal acceleration = 0 m/s².
  • Which quantity remains constant for a football thrown at 15° angle?
    Acceleration remains constant (gravity), other quantities change.
  • Horizontal velocity of marble launched from 1.2 m height landing 0.52 m away in 0.51 s
    Horizontal velocity = distance / time = \(\frac{0.52}{0.51}\) m/s.
  • Final speed of a cat moving at 1 m/s accelerating at 0.2 m/s² for 5 s
    Final speed = initial speed + acceleration × time = \(1 + 0.2 \times 5 = 2\) m/s.
  • Acceleration magnitude of football player slowing from 8 m/s to 2 m/s over 15 m
    Use kinematic equation \(v^2 = v_0^2 + 2a d\) to solve for a.
  • Distance traveled by object accelerating at 0.5 m/s² east for 20 s from 10 m/s
    Use \(d = v_0 t + \frac{1}{2} a t^2\) to find distance.