Translation Velocity Physics Games : Pipeng Free Online Software

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Pipeng : Physics Translation Motion : Velocity Displacement And Acceleration Physics Homework BETA Game Module

Translation Velocity Physics Games

Description : Physics translation motion games : displacement, velocity and acceleration

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Module List

BETA : Translation : Velocity 01 : Average Speed From Distance And Time : Beta Physics Homework Game

Description : Average velocity amplitude from distance and time.

Discussion : Velocity amplitude (or speed) is the scalar value of the velocity vector.

va = (vi + vf) / 2

d = va * t

rearranging

a = 2 * (vf - va) / t

vf = vi + a * t

t = d / va

va = d / t

where

vi = initial velocity amplitude

vf = final velocity amplitude

va = average velocity amplitude

d = displacement amplitude or distance

t = elapsed time

BETA : Translation : Velocity 02 : Final Velocity From Initial Velocity Acceleration And Time : Beta Physics Homework Game

Description : Final velocity amplitude from the initial velocity amplitude, acceleration and time.

Discussion : Velocity amplitude (or speed) is the scalar value of the velocity vector.

vf = vi + a * t

rearranging

vi = vf - a * t

a = (vf - vi) / t

t = (vf - vi) / a

other equations

va = (vi + vf) / 2

d = (vi + vf) / 2 * t

va = d / t

where

vi = initial velocity amplitude

vf = final velocity amplitude

va = average velocity amplitude

d = displacement amplitude or distance

t = elapsed time

a = acceleration amplitude

BETA : Translation : Velocity 03 : Distance From Initial Velocity Acceleration And Time : Beta Physics Homework Game

Description : Displacement amplitude or distance from the initial velocity amplitude, acceleration and time.

Discussion : Velocity amplitude (or speed) is the scalar value of the velocity vector.

d = vi * t + 0.5 a * t²

other equations

va = (vi + vf) / 2

vf = vi + a * t

va = d / t

vf² = vi² + 2 * a * d

where

vi = initial velocity amplitude

vf = final velocity amplitude

va = average velocity amplitude

d = displacement amplitude or distance

t = elapsed time

a = acceleration amplitude

BETA : Translation : Velocity 04 : Distance From Initial Velocity Final Velocity And Time : Beta Physics Homework Game

Description : Displacement amplitude or distance from the initial velocity amplitude, final velocity amplitude and time.

Discussion : Velocity amplitude (or speed) is the scalar value of the velocity vector.

d = (vi + vf) / 2 * t

rearranging

vi = 2 * d / t - vf

vf = 2 * d / t - vi

t = 2 * d / (vf - vi)

other equations

va = (vi + vf) / 2

a = (vf - vi) / t

va = d / t

where

vi = initial velocity amplitude

vf = final velocity amplitude

va = average velocity amplitude

d = displacement amplitude or distance

t = elapsed time

a = acceleration amplitude

BETA : Translation : Velocity 05 : Final Velocity From Initial Velocity Acceleration And Distance : Beta Physics Homework Game

Description : Final velocity amplitude from the initial velocity amplitude, acceleration amplitude and and displacement amplitude or distance.

Discussion : Velocity amplitude (or speed) is the scalar value of the velocity vector.

vf² = vi² + 2 * a * d

rearranging

vi² = vf² - 2 * a * d

a = (vf² - vi²) / (2 * d)

d = (vf² - vi²) / (2 * a)

other equations

va = (vi + vf) / 2

t = (vf - vi) / a

va = d / t

where

vi = initial velocity amplitude

vf = final velocity amplitude

va = average velocity amplitude

d = displacement amplitude or distance

t = elapsed time

a = acceleration amplitude

BETA : Translation : Velocity 06 : Relative Linear Velocity : Beta Physics Homework Game

Description : Relative linear velocity between two masses moving in a straight line.

Discussion : The relative velocity is the velocity that an observer situated on one of the masses would observe as the velocity of the other mass. The relative velocity for the other mass is equal and opposite. See Figure Relative Linear Velocity

The game has 3 sets of questions with 2 questions per set.

vab, vba

va, vba

vab, vb

The basic equations are :

vab = va - vb

vba = vb - va = - vab

rearranging

va = vab + vb

vb = va - vab

vba = vb - va

vab = - vba

where

va = velocity a

vb = velocity b

vab = velocity of a relative to b

vba = velocity of b relative to a

BETA : Translation : Velocity 07 : Relative Vector Velocity : Beta Physics Homework Game

Description : Relative vector velocity between two masses moving in two dimensional space.

The game has 3 sets of questions with 5 questions per set.

vx, vy, vab, thetaab

vx, vy, va, thetaa

vx, vy, vb, thetab

The basic equations are :

vx = va cosd(thetaa) - vb cosd(thetab)

vy = va sind(thetaa) - vb sind(thetab)

vab = √(vx² + vy²)

thetaab = tan2d(vy, vx)

solving for va

vx = vab cosd(thetaab) + vb cosd(thetab)

vy = vab sind(thetaab) + vb sind(thetab)

Solving for vb

vx = va cosd(thetaa) - vab cosd(thetaab)

vy = va sind(thetaa) - vab sind(thetaab)

where

va = velocity a

vb = velocity b

vab = velocity of a relative to b

thetaa = angle a (θa)

thetab = angle b (θb)

thetaab = angle of ab (θab)

vx = x component of velocity

vy = y component of velocity

BETA : Translation : Velocity 08 : Velocity Versus Time Graph Or Chart : Beta Physics Homework Game

Description : Velocity versus time graph or chart

Discussion : The distance is equal to the area under the line. The acceleration is equal to the slope of the line. See Figure Velocity Versus Time Chart

The game has 3 sets of questions with 5 questions per set.

d1, d2, d3, a1, a3

v, t2, t3, a1, a3

t1, d1, d2, t3, d3

The basic equations are :

d1 = v t1 / 2

d2 = v (t2 - t1)

d3 = v (t3 - t3) / 2

a1 = v / t1

a3 = -v / (t3 - t2)

rearranging

v = 2 d1 / t1

t1 = v / a1

t2 = d2 / v + t1

t3 = 2 d3 / v + t2

t3 = -v / a3 + t2

where

v = velocity

t1, t2, t3 = time 1, 2, 3

d1 = distance travelled in time t = 0 to t1

d2 = distance travelled in time t = t1 to t2

d3 = distance travelled in time t = t2 to t3

a1 = acceleration in time t = 0 to t1

a3 = acceleration in time t = t2 to t3

BETA : Translation : Velocity 09 : Distance Versus Time Graph Or Chart : Beta Physics Homework Game

Description : Distance versus time graph or chart.

Discussion : The velocity is equal to the slope of the line. See Figure Distance Versus Time Chart

The game has 3 sets of questions with 3 questions per set.

v1, v2, v3

t1, t2, t3

d1, d2, d3

The basic equations are :

v1 = d1 / t1

v2 = (d2 - d1) / (t2 - t1)

v3 = (d3 - d2) / (t3 - t2)

rearranging

t1 = d1 / v1

t2 = t1 + (d2 - d1) / v2

t3 = t2 + (d3 - d2) / v3

d1 = v1 t1

d2 = d1 + v2 (t2 - t1)

d3 = d2 + v3 (t3 - t2)

where

t1 t2 t3 = time 1 2 3

d1 d2 d3 distance 1 2 3

v1 = velocity for time t = 0 to t1

v2 = velocity for time t = t1 to t2

v3 = velocity for time t = t2 to t3

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