Linear Motion with Constant Acceleration

Effects of acceleration•Object’s speed changes every second, therefore the distance covered each second is different•When d vs. t is graphed for constant a, the result is a parabola

Equation #1

Time (s) Speed(m/s)

0 01 22 43 64 8

Car starts from rest with an acceleration of 2 m/s2:

Equation?atv

atvv if

Equation #2Car starts from rest with an acceleration of 2 m/s2:Time (s) Dist (m)

0 01 12 43 94 16

Equation?

2

21atd

Equation #2- Final FormCar starts from 3 m/s with an acceleration of 2 m/s2:Time

(s)Dist (m)

0 01 42 103 184 28

Equation?

2

2iatd v t

Old d (m)

0149

16

Diff

0369

12

Equation #3

avv

t

atvv

if

if

Substitute into #2

avvvv

avvv

d

avv

aavv

vd

iiffiif

ififi

22

21

222

2

avv

d if

2

22

2 2 2f iv v ad

avvvvvvv

d

avvvv

avvv

d

iiffiif

iiffiif

222222

222

222

Equations for linear motion with constant acceleration

2

2 2

22

f i

i

f i

v v at

atd v t

v v ad