Question

2 what information can you calculate from this graph? initial velocity change in mass final velocity impulse

Explanation:

Step1: Recall the formula for impulse

Impulse \(J=\int_{t_1}^{t_2}Fdt\). For a force - time graph, the impulse is equal to the area under the force - time curve.

Step2: Analyze the other quantities

• Initial velocity \(u\): To find the initial velocity, we would need information about the state of the object before any force is applied in a context related to motion equations (\(F = ma\), \(v=u + at\) etc.). The force - time graph alone (without mass or other motion - related data) cannot give the initial velocity.
• Change in mass: The force - time graph has no relation to the mass of an object. Mass is an intrinsic property (in non - relativistic cases) and \(F - t\) graph data (\(F\) vs \(t\)) does not involve mass change information.
• Final velocity \(v\): Similar to the initial velocity, to find the final velocity, we would need the mass of the object (since \(J=\Delta p=m(v - u)\)) along with the impulse. Just from the \(F - t\) graph (without mass), we cannot calculate the final velocity.

Answer:

Impulse