bk2 p90 q24 c d
i don't know how to do c) and d)
question: The displacement x at time t of a particle is given by
x = A sin 2t + B cos 2t
where A and B are constants.
a) if x satisfies the equation
find the values of A and B
b) What is the max. displacement of the particle?
c) show that the speed at time t is given by
d) hence find the maximum speed of the particle
my working:
dx/dt = 2A cos 2t - 2B sin 2t
A = -2/25
B = -3/50
when dx/dt = 0
tan 2t = 4/3
sin 2t = 4/5 or -4/5
cos 2t = 3/5 or -3/5
max. of x = 1/10
don't know how to do c) and d) . thanks