A particle moves in a plane with a constant speed along a path y = 2x2 + 3x – 4. When the particle is at (0, – 4) the direction along which it is moving is inclined to the X axis at an angle
(a) 630 (b) 720 (c) 270 (d) 00
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A particle moves in a plane with a constant speed along a path y = 2x2 + 3x – 4. When the particle is at (0, – 4) the direction along which it is moving is inclined to the X axis at an angle
(a) 630 (b) 720 (c) 270 (d) 00
A particle moves in a plane with a constant speed along a path y = 2x2 + 3x – 4. When the particle is at (0, – 4) the direction along which it is moving is inclined to the X axis at an angle
(a) 630 (b) 720 (c) 270 (d) 00
Correct option (b) 720
Explanation:
The direction along which the particle moves is the direction of velocity which in turn, is the slope of the trajectory. This is [dy/dx](0,4) = tan(θ) = 3 and hence the answer.