The path of a particle in the x-y plane is y=3x+4. At some instant the x-component of velocity is 1 m s⁻¹ and is increasing at 1 m s⁻². Which statements are correct?
Select all that apply

Question

The path of a particle in the x-y plane is y=3x+4. At some instant the x-component of velocity is 1 m s⁻¹ and is increasing at 1 m s⁻². Which statements are correct?

G1 Physics · Accepted Answer

Since y=3x+4, vy=3vx. With vx=1 m s⁻¹, speed=√(1²+3²)=√10 m s⁻¹, so A. Differentiating again gives ay=3ax; with ax=1 m s⁻², |a|=√(1²+3²)=√10 m s⁻², so B. The remaining graph statements do not necessarily follow. Hence A,B.