Question

The path of the particle makes with the ( x ) -axis an angle of ( 60^{circ} . )
Explanation:
Given that,
Coordinates ( (x, y)=(sqrt{3}, 3) )
A particle starting from origin(0,0)moves in a straight line in the (x,
y)plane.
The path of the particle makes with the x-axis an angle is
( tan theta=frac{y}{x} )
( tan theta=frac{3}{sqrt{3}} )
( tan theta=tan 60^{circ} )
( theta=60^{circ} )
Hence, The path of the particle makes with the ( mathrm{x} ) -axis an angle of ( 60^{circ} . )

# 15. A particle starting from the origin (0, 0) moves in a straight line in the (x, y) plane. Its coordinates at a later time are (V3,3). The path of the particle makes with the x- axis an angle of (1) 30° (2) 45° (3) 60° (4) 09

Solution