Im really puzzled on this question:(adsbygoogle = window.adsbygoogle || []).push({});

A car intially accelerates at a(t) = 1/40 sin((pi x t)/1800) m/sec where t is time. What is the distance travelled in km when the car next comes to a halt. How long has the car been travelling? What is the maximum speed attained by the car?

By integrating the acceleration for velocity and equating this to zero for when the train stops i found t=3600. When integrating again to give an equation for distance travelled by the car i got (45logt)/pi in the equation. Is this correct? If so how should the constant of integration in this equation be found given log0 is undefined? If log0 is taken as zero i get a distance travelled as 50.9m which seems too small. Am i going wrong somewhere?

Also how would i go about finding max speed? Is this when acceleration is zero?

Grateful for anyones help x

**Physics Forums | Science Articles, Homework Help, Discussion**

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Mechanics -straight line motion

**Physics Forums | Science Articles, Homework Help, Discussion**