To determine how a line graph would look that shows the relationship between kinetic energy (KE) and mass for objects traveling at the same velocity, we can use the formula for kinetic energy:
\[ KE = \frac{1}{2} mv^2 \]
Where \( m \) is the mass of the object, and \( v \) is the velocity. Since the velocity is constant for all objects, the kinetic energy is directly proportional to the mass. As the mass increases, the kinetic energy increases as well.
Given the data you provided:
- Object A: mass 6 → KE = \( \frac{1}{2} \times 6 \times v^2 \)
- Object B: mass 8 → KE = \( \frac{1}{2} \times 8 \times v^2 \)
- Object C: mass 10 → KE = \( \frac{1}{2} \times 10 \times v^2 \)
- Object D: mass 12 → KE = \( \frac{1}{2} \times 12 \times v^2 \)
As mass increases (6, 8, 10, 12), the kinetic energy will also increase, producing a linear relationship.
Therefore, the correct response is:
It looks like a straight line slanting upwards.