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skp123

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## Homework Statement

The 400 kg mine car is hoisted up the incline with a slopeangle of 30°. The massless cable connects the mine car and

the motor that induces its motion. The force in the cable is

defined by following function F = 3200 t2 [N], where the

time t is in seconds. The mine car has at t = 0 and s = 0 an

initial velocity v1 = 2 m/s. There is no friction between the

mine car and the incline.

a) Determine the acceleration of the mine car for t = 1 s.

b) Calculate the velocity of the mine car when t = 2 s.

Image of the mine car

http://img14.imageshack.us/i/caraws.jpg/" http://img14.imageshack.us/i/caraws.jpg

## Homework Equations

F=ma

mgsin(30) + 3200 t^2 = ma - second derivative - here we have acceleration

now we integrate the above and we get

a= (mgsin(30) + 3200t^2)t / m - first derivative - here we have velocity

now we integrate again and we get

a= (mgsin(30) + 3200t^2)t^2 / 2m - here we have the distance

## The Attempt at a Solution

Are my equations correct ?

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