
Mechanics problem
Hi,
Could anybody help with this one please:
Q. A point particle moves in a plane with trajectory (in metres per second)
→
r (t) = x(t)i + y(t) j,
where
x(t) = 1/2 tē
y(t) = 2 cos(t)
a) Sketch the trajectory of the particle for t ≥ 0. (not sure if you can do this on a msg board!).
b) Compute the velocity,
→
v(t), of the particle for t ≥ 0.
c) Compute the acceleration,
→
a (t), of the particle for t ≥ 0 and determine the maximum value of the magnitude of the vector
→
a (t).
I know the velocity is the derivative and acceleration is the second derivative but I'm not sure about magnitude, especially the max value.
Thanks

