Accelerating car, kinematics problem

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SUMMARY

The discussion focuses on calculating the average and instantaneous power developed by a 2.3 x 103 kg car that accelerates from rest to +17 m/s over 21 seconds, while experiencing a constant air resistance of -500 N. The average power can be determined using the formula Power = Work / time, where Work is calculated as Force multiplied by distance. Additionally, the instantaneous power at t = 15 seconds can be derived from the car's velocity and the net force acting on it at that moment.

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  • Understanding of Newton's Second Law of Motion
  • Familiarity with the concepts of work and energy in physics
  • Knowledge of power calculations in terms of Watts
  • Basic algebra for solving equations
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  • Calculate the distance traveled by the car using kinematic equations
  • Learn how to derive instantaneous power from velocity and force
  • Explore the effects of air resistance on vehicle acceleration
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Jessicaelleig
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A 2.3 103 kg car starts from rest and accelerates along a horizontal roadway to +17 m/s in 21 s. Assume that air resistance remains constant at -500 N during this time. Find
(a) the average power developed by the engine and

(b) the instantaneous power developed at t = 15 s.

I am really confused about this. If you can help, I would appreciate it. Thanks!
 
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Jessicaelleig said:
A 2.3 103 kg car starts from rest and accelerates along a horizontal roadway to +17 m/s in 21 s. Assume that air resistance remains constant at -500 N during this time. Find
(a) the average power developed by the engine and

(b) the instantaneous power developed at t = 15 s.

I am really confused about this. If you can help, I would appreciate it. Thanks!

I find a good place to start on any problem is to list the knowns and unknowns, then find equations that deal with those properties/units.

For instance, here you are given :
mass
initial velocity
final velocity
time
a force acting on the system

and you are looking for:
power

Keep in mind, power will have units in terms of Watts (or kW)
Power = Work / time
Work = Force * distance
Force = mass * acceleration


See if you can get started with that.
 

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