A particle moves in a plane with a constant speed along a path y = 2x2

1.	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
Answer» 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.

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

Answer»

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.

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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

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