I'm trying to do some revision before classes start again tomorrow but I'm struggling a little bit with this one, any help would be greatly appreciated! I've included my working so far:
A particle moves in 2D with a vector velocity which at time t is ' v = (-0.4ti + 5j) m/s '.
At time t=0 the particle is at (3,2)
a) Find the acceleration vector at time t
b) Find the position vector at time t
c) Find the speed at time t = 10
I found the acceleration vector at time t to be -0.4i m/s^2
I can't figure out how to find the position vector at time t and also not sure how I'd carry on to do part c.
I've integrated to get: 'r = -0.2t²i + 5tj + c' and i know at time t=0, 'r = 3i + 2j' but I'm not sure what to do to finish off the question. Thank you for any help!
edit: I found b) to be 'r = (3-0.2t²)i + (5t+2)j' but I was wondering if anybody could still help me with c)?