Motion (Uniform And Accelerated)

Question 0

Velocity functions

Answer 0

A change in position over time

Question 1

Position functions

Answer 1

The location of a given object at a point in time

Question 2

Acceleration Functions

Answer 2

A change in velocity over time

Question 3

Displacement

Answer 3

The net change in position

d=Δs

Question 4

Displacement formula (given acceleration)

Answer 4

Δs=vit+(at^2)/2

Question 5

Displacement formula (without acceleration)

Answer 5

Δs=t*(vi+vf)/2

Question 6

Final position

Answer 6

Sf=v*t+si

Question 7

Calculating the position function from the acceleration function

Answer 7

s(t)=∫∫a(t)

Question 8

Average postion

Answer 8

Savg=(Sf+Si)/2

Question 9

Average velocity (from position values)

Answer 9

Vavg=Δs/Δt

Question 10

Average velocity (from velocity values)

Answer 10

Vavg=(vi+vf)/2 otherwise Vavg=(x-xi)/t

Question 11

Final velocity (given time)

Answer 11

vf=a*t+vi

Question 12

Final velocity (given displacement)

Answer 12

vf=√(2aΔs+vi^2)

Question 13

Calculating the velocity function from the position function

Answer 13

v(t)=∂s(t)

Question 14

Calculating the position function from the velocity function

Answer 14

s(t)=∫v(t)

Question 15

Calculating the velocity function from the acceleration function

Answer 15

v(t)=∫a(t)

Question 16

Average acceleration (given displacement)

Answer 16

Aavg=Δs/(Δt)^2

Question 17

Average Acceleration (from velocity values)

Answer 17

Aavg=Δv/Δt

Question 18

Calculating Acceleration (without time)

Answer 18

a=(vf^2-vi^2)/(2Δs)

Question 19

Calculating acceleration (without final velocity)

Answer 19

a=(Δs-vi*t)/t^2

Question 20

Acceleration function from the velocity function

Answer 20

a(t)=∂v(t)

Question 21

Acceleration function from the position function

Answer 21

a(t)=∂∂s(t)

Question 22

Velocity at a given position on a graph

Answer 22

v=[(s(t+h)-s(t)]/h

Where ‘h’ is an arbitrarily small number

Question 23

Acceleration at a given velocity on a graph

Answer 23

a=[(v(t+h)-v(t)]/h

Where ‘h’ is an arbitrarily small number

Question 24

Acceleration at a given position on a graph

Answer 24

a=(([(s(t+h)-s(t)]/h)-([(s(t)-s(t-h)]/h))/h

Difference of two velocity-from-position functions, that vary by ‘h’ in two different directions, divided by ‘h’

Question 25

Time (from acceleration and displacement)

Answer 25

t=√(Δs/a)

Question 26

Time (from acceleration and velocity)

Answer 26

t=Δv/a

Question 27

Time (from final position and velocity)

Answer 27

t=(Sf-Si)/v

Question 28

Time (from displacement and velocity)

Answer 28

t=Δs/v

Question 29

Time (from final position and acceleration)

Answer 29

t=√((Sf-Si)/a)

Question 30

Time (from final velocity and acceleration)

Answer 30

t=(Vf-Vi)/a

Question 31

Maximum hight of vertical projectiles

Answer 31

Write it out

Ymax=(.5)(-9.81)(vi/9.81)^2+(vi^2)/9.81+yi

Question 32

Time at which a vertical projectile reaches maximum hieght

Answer 32

t=vi/9.81

Question 33

Time at which the vertical projectile returns to yi

Answer 33

t=2(vi)/9.81