- #1

Ambidext

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## Homework Statement

A car with mass m having an automatic gear box accelerates from rest with a constant power P.

Determine and sketch the position x(t), the velocity v(t), and the acceleration a(t).

How long does a car with mass m = 1000 kg applying a power P of 100 kW to reach a velocity of 100 km/h.

## Homework Equations

## The Attempt at a Solution

The question hints:

that I need to solve an ordinary differential equation, using a trial solution v(t) = A t

^{1/2}, where A is a constant.

I can sketch the graphs but as my maths is quite terrible for a science student, I have problems understanding the hint and how to apply it.