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the velocity of a car increases from 2.0 m/s to 16.0 m/s in a time period of 3.5 s. what was the average acceleration? if an automobile slows from 26 m/s to 18 m/s in a period of 4.0 s, what was the average acceleration? if a runner increases his velocity from 0 m/s to 20 m/s in 2.0 s, what was his average acceleration? if a runner decreases his velocity from 20 m/s to 10 m/s in 2.0 s, what was his average acceleration?

Sagot :

The Average acceleration is 3.25m/s².

Acceleration is the change in velocity of the body with respect to time.

Where,

a= acceleration

u= initial speed

v= final speed

t= time

Initially, u = 2m/s

v = 16m/s

t = 3.5s

a = v-u/t

a = 16-2/3.5

a = 4m/s²

Then, u = 26m/s

v = 18m/s

t = 4s

a = v-u/t

a = 26-18/4

a =2 m/s²

Now, u = 0m/s

v = 20m/s

t = 2s

a = v-u/t

a = 20/2

a = 10m/s²

Finally, u = 20m/s

v = 10m/s

t = 2s

a = v-u/t

a = 10-20/2

a = -5m/s²

The average acceleration is the acceleration during the entire journey = 4+2+10-5/4

Average acceleration = 13/4m/s²

Average acceleration = 3.25m/s²

The Average acceleration is 3.25m/s²

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