Asked by Candice

a particle moves in a straight line such that its position x from a fixed point 0 at time 't' is given by
x= 5 + 8sin2t + 6cos2t

1. Find the period and amplitude of the particle.

2. Find the greatest speed of the particle.

Thanks
Answered by Steve
amplitude=10
period is also 2pi

dx/dt = 16cos2t - 12sin2t
amplitude = 20, so that would be its maximum speed.
Answered by Candice
Can you please explain how to get the answers please?
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