Question

what does that tell you? claim: state which factor affects ke more (mass or velocity). this is just a statement. do not tell me why. the factor that changes ke more is velocity evidence: give 3 pieces of evidence to support your claim. evidence 1 (ratio / proportionality): 1) the data table shows that the ratio for ke and mass stays the same the ratio for ke and velocity increases as velocity increases. evidence 2 (linearity / shape of graph): 2) the graph of ke vs mass is a straight line the graph of ke vs velocity is a curved line. evidence 3 (slope / rate of change): 3) the data table shows that the slope (δy - δx) for mass stays ______. the slope for velocity ____ as velocity increases. reasoning: for each piece of evidence tell me why you used it to help support your claim. reasoning for evidence 1 (ratio / proportionality): 1) because the ratio for mass stays , ke is directly proportional to . because the ratio for velocity , ke is not proportional to . reasoning for evidence 2 (linearity / shape of graph): 1) because ke vs mass is a ____ line, ke changes at a ____ rate with mass. because ke vs velocity is ____, ke changes at an ______ rate with velocity

Explanation:

Step1: Analyze slope for mass

The relationship between kinetic - energy (KE) and mass is linear. In a linear relationship, the slope ($\Delta y/\Delta x$) is constant. So, the slope for mass stays constant.

Step2: Analyze slope for velocity

The relationship between KE and velocity is quadratic ($KE=\frac{1}{2}mv^{2}$). As velocity increases, the rate of change of KE with respect to velocity increases. So, the slope for velocity increases as velocity increases.

Step3: Analyze reasoning for ratio evidence

Since the ratio for mass stays constant, KE is directly proportional to mass. Because the ratio for velocity changes, KE is not proportional to velocity in a simple - direct way.

Step4: Analyze reasoning for graph - shape evidence

Because KE vs mass is a straight line, KE changes at a constant rate with mass. Because KE vs velocity is a curved line, KE changes at a non - constant rate with velocity.

Answer:

1. The data table shows that the slope ($\Delta y/\Delta x$) for mass stays constant. The slope for velocity increases as velocity increases.
2. Because the ratio for mass stays constant, KE is directly proportional to mass. Because the ratio for velocity changes, KE is not proportional to velocity in a simple - direct way.
3. Because KE vs mass is a straight line, KE changes at a constant rate with mass. Because KE vs velocity is a curved line, KE changes at a non - constant rate with velocity.