Translational Motion Flashcards

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1
Q

Speed and Velocity

A

Speed is change in distance over time (scalar)

Velocity is change in displacement over time (vector)

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2
Q

Acceleration

A

Acceleration is change in velocity over time (vector)

e.g. When objects fall (g = 10 m/s2), the object falls at 0 m/s at t = 0, 10 m/s at t = 1, 20 m/s t = 2, etc.

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3
Q

Uniformly Accelerated Motion - 3 Equations

No vt

No Δx

No t

A

Δx = v0Δt + 1/2a(Δt)2

Δv = aΔt

vt2 - v02 = 2aΔx

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4
Q

Height During Free Fall

Gravity

A

y = 1/2a(Δt)2

g = 10 m/s2

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5
Q

Free Fall Approximations

A

To get approximate velocity: multiply time by 10 (2.5 m/s at t = 0.25 s)

To get appoximate change in height: as drop time doubles, change in height quadruples (at t = 1 s, drops 5 m, at t = 2 s, drops 20 m)

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6
Q

Does horizontal motion affect vertical motion?

A

No. We can treat horizontal and vertical components seperately, making problem solving easier.

Time is independent of either processes, and can be calculated any which way.

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7
Q

Time to Top of Projectile

Total Time of Projectile

A

vty - v0y = gt

vty = 0 at top; v0y = -gt; ttop = v0y/(10 m/s2)

ttop = v0y/-g

ttotal will be twice the time it takes to get to the top

ttotal = 2v0y/g

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8
Q

Total Height of Projectile

A

vty2 - v0y2 = 2gΔh

vty = 0 at top; Δh = (-2v0y)2/2g

Δh = (-2v0y)2/2g

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9
Q

Total Range of Projectile

A

Dependent on inital and final height being the same

r = (2v0xv0y)/g

r= (v02sin(2θ))/g

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