A particle moves in a straight line...

[Guest]

A particle moves in a straight line so that its distance, x metres, from a point O is given by the equation x = 3 + 4 sin 25t, where t is the time in seconds after the particle begins to move.

a) Find the distance from O when the particle begins to move.
b) Find the time when the particle first reaches O. (2dcp)

 

[wjm11]

A particle moves in a straight line so that its distance, x metres, from a point O is given by the equation x = 3 + 4 sin 25t, where t is the time in seconds after the particle begins to move.

a) Find the distance from O when the particle begins to move.
b) Find the time when the particle first reaches O. (2dcp)

A) Plug 0 in for t. What does x equal?
B) What value should x have for the particle to be at O? Plug that value in for x and solve for t.