# A particle is constrained to move in #Q_1#, in a parabolic groove # y = x^2#. It was at O, at t = 0 s. At time t s, its speeds in the directions Ox and Oy are 5 and 12 cm/s, respectively. How do you prove its direction makes #67^o22'49''# with Ox?

##### 1 Answer

Feb 18, 2017

See below.

#### Explanation:

Because of the constraint, the velocity vector is also the tangent vector. Therefore: