Physics Question

Question

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

v(t) = sin(t) − cos(t),    s(0) = 0

What s(t)?

Answer 1

ds/dt = sin(t) - cos(t)

separate the differentials and integrate both sides:

∫ds = ∫(sin(t) - cos(t))dt

s + C = -cos(t) - sin(t)

Solve for C using s = 0 when t = 0

Good luck!