UPCAT PHYS. QUAN. & KINEMATICS

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Last updated 1:03 PM on 6/23/26
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35 Terms

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<p>Analysis</p>

Analysis

v: constant, a: zero

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<p></p>

V: increasing, a: positive

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V: zero, a: zero

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v: small (slow)(+)

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<p></p>

big (fast)(-)

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v: constant (+), a: 0

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v: increase (+), a: increase

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Scalar quantity
Magnitude only, no direction
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Vector quantity
Magnitude AND direction
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Distance
Scalar
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Displacement
Vector
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Vector addition/subtraction
Head-to-tail method
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Speed formula
s = distance/time (scalar)
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Velocity formula
v = displacement/time (vector)
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Average speed
total distance/total time
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Average velocity
total displacement/total time
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Instantaneous speed/velocity
value at one specific moment in time
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Acceleration formula
a = Δv/t = (vf−vi)/t
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Velocity & acceleration same sign
object speeds up
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Velocity & acceleration opposite sign
object slows down (decelerates)
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UARM equation missing d
vf = vi + at
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UARM equation missing a
d = (vf+vi)/2 × t
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UARM equation missing vf
d = vi·t + ½at²
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UARM equation missing t
vf² = vi² + 2ad
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Free fall
a = g = 9.8 m/s², downward
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Free fall symmetry (no air resistance)
speed lost going up = speed gained going down
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Projectile: horizontal acceleration
a_x = 0 (constant velocity)
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Projectile: vertical acceleration
a_y = g = 9.8 m/s² (free fall)
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Projectile: velocity components
v_ix = vi cosθ, v_iy = vi sinθ
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Projectile: horizontal displacement
Δx = v_ix·t
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Projectile: vertical displacement
Δy = v_iy·t − ½gt²
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Projectile: time to peak
t_y = v_iy/g