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Certain car can accelerate from rest to the speed v in t seconds. if the power output of the car remains constant, (a) how long does it take for the car to accelerate from v to 2v? (b) how fast is the car moving at 2t seconds after starting

Sagot :

(a) time taken for the car to accelerate from v to 2v = t = [tex]\frac{2V-V}{a}[/tex]

(b) velocity of the car moving at 2t seconds = ΔV = 2at

(a) we know that,

a=[tex]\frac{V_{F}-V_{0} }{t}[/tex]

where, [tex]V_{F}[/tex] is the final velocity

[tex]V_{0}[/tex] is the initial velocity

a = acceleration

t = time

Time taken to accelerate from V to 2V:

t = [tex]\frac{2V-V}{a}[/tex]

(b) We know that,

a=[tex]\frac{V_{F}-V_{0} }{t}[/tex]

where, [tex]V_{F}[/tex] is the final velocity

[tex]V_{0}[/tex] is the initial velocity

a = acceleration

t = time

how fast is the car moving at 2t seconds after starting,

we can represent [tex]V_{F}[/tex] - [tex]V_{0}[/tex] = ΔV

at time = t= 2t, it becomes

a=[tex]\frac{V_{F}-V_{0} }{t}[/tex] = a = ΔV/2t

t= ΔV/2a

ΔV = 2at

What is acceleration?

Rate of change of velocity with time, both in terms of speed and direction is known as acceleration.

What is speed?

  • the rate at which an object's location changes in any direction.
  • The distance traveled in relation to the time it took to travel that distance is how speed is defined.
  • Since speed simply has a direction and no magnitude, it is a scalar quantity.

To learn more about acceleration visit:

https://brainly.com/question/12550364

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