Momentum

We are given the mass $m=0.06$ kg and the velocity $v=50$ m/s. We need to find the momentum $p$.

Use the formula $p=m\times v$. Substituting the values: $p=0.06\times 50$

$p=0.06\times 50=3\text{ kg m/s}$ The momentum of the tennis ball is 3 kg m/s in the direction of travel.

We need to find momentum using $p=mv$, where $m=0.06$ kg and $v=50$ m/s. The correct calculation is $0.06\times 50$.

This would come from dividing: $0.06÷50=0.0012$. We must multiply mass and velocity, not divide. Eliminate this option.

This comes from $50÷0.06\approx 833$, which inverts the division. This is not how momentum is calculated. Eliminate this option.

This might come from rounding $50÷60\approx 0.83$, confusing the formula. This is not the correct calculation. Eliminate this option.

$p=0.06\times 50=3$ kg m/s. The correct answer is 3 kg m/s.

In physics, quantities are either scalars (magnitude only) or vectors (magnitude and direction). Examples of vectors include velocity and force.

Since momentum is defined as $p=mv$, and velocity is a vector (it has direction), momentum also has direction. This makes momentum a vector quantity.

A vector quantity has both magnitude and direction. This is why objects moving in opposite directions have momenta with opposite signs.

The question asks what it means for momentum to be a vector quantity.

Momentum can be negative when an object moves in the negative direction. For example, an object moving to the left has negative momentum if rightward is positive. Eliminate this option.

This describes a scalar quantity. Momentum depends on velocity (which includes direction), not just speed. Eliminate this option.

Kinetic energy ($KE=\frac{1}{2}m{v}^2$) is a scalar quantity, completely different from momentum. Eliminate this option.

A vector quantity has both magnitude and direction. This is the defining feature that distinguishes vectors from scalars.