Question

A particle is moving with the given data. Find the position of the particle.

v (t) = sin t - cos t,     s (0) = 0

Answer 1

Step 1:

A particle is moving with a velocity .

Basic formula for velocity , where is distance.

if is an anti derivative of the function , then the most anti derivative of the function is .

Where is an arbitrary constant.

Since the anti derivative of  is and the anti derivative of is .

Step 2:

Here .

Substitute in

Substitute value in .

Solution:

The position of the particle is .