Question

which mathematical representation correctly identifies impulse?
(1 point)

impulse = acceleration × time

impulse = \\(\frac{force}{time}\\)

impulse = \\(\frac{velocity}{time}\\)

impulse = force × time

Explanation:

To determine the correct formula for impulse, we recall the physics definition: Impulse is the product of force and the time interval over which the force acts. Let's analyze each option:

• Option 1: \( \text{impulse} = \text{acceleration} \times \text{time} \) – Acceleration times time gives change in velocity, not impulse. Eliminate.
• Option 2: \( \text{impulse} = \frac{\text{force}}{\text{time}} \) – Force divided by time is not the definition of impulse. Eliminate.
• Option 3: \( \text{impulse} = \frac{\text{velocity}}{\text{time}} \) – Velocity divided by time is acceleration, not impulse. Eliminate.
• Option 4: \( \text{impulse} = \text{force} \times \text{time} \) – This matches the definition of impulse ( \( J = F \Delta t \) ).

Answer:

D. \( \text{impulse} = \text{force} \times \text{time} \)