Question

I guessed on the answer, but could be wrong...

Question 3 Consider two particles zipping around in a plane (i.e., in 2 dimensions), one with speed v, the other with speed 2v. How many different velocities are consistent with these speeds? OA There are half as many v that give a speed of 2v OB The numbers are the same. ° C There are twice as many u that give a speed of 2v O DThere are four times as many 7 that give a speed of 2v

Answer 1

The difference between speed and the velocity is just that speed is a scalar quantity but the velocity is a vector quantity,

Therefore in the given question both the particles which are zipping around must have two types of velocities, one along with the x axis   and one along with the y axis   $V_y$ and their resultant will be their individual velocities.

The difference between speed and the velocity is just that speed is a scalar quantity but the velocity is a vector quantity, Therefore in the given question both the particles which are zipping around must have two types of velocities, one along with the x axis V_x and one along with the y axis V_y and their resultant will be their individual velocities. Hence There are twice as many upliosn_rightarrow that give a speed of 2vThus option - C is correct answer.

Hence

There are twice as many   $\vec v$ that give a speed of 2v

Thus option - C is correct answer.