A 3 kg basketball is initially at rest. A player applies a force of 12 N to the ball for 2 seconds. What is the impulse applied to the basketball? You must show work.

Answer 1

To find the impulse applied to the basketball, we can use the formula for impulse, which is defined as the product of force and the time duration over which the force is applied:

\[ \text{Impulse} = \text{Force} \times \text{Time} \]

Given:

• Force (\( F \)) = 12 N
• Time (\( t \)) = 2 seconds

Substituting the values into the equation:

\[ \text{Impulse} = 12 , \text{N} \times 2 , \text{s} = 24 , \text{N}\cdot\text{s} \]

Thus, the impulse applied to the basketball is:

\[ \boxed{24 , \text{N}\cdot\text{s}} \]