Question

islas change in velocity is 30 m/s over 5 seconds. hazel has the same change in velocity, but it takes her 10 seconds to achieve it. which best explains why they would have different accelerations? isla had negative acceleration, and hazel had positive. islas change in velocity occurred over a shorter time than hazels. isla had positive acceleration, and hazel had negative. isla went a farther distance than hazel.

Explanation:

Acceleration is calculated by the formula \( a = \frac{\Delta v}{\Delta t} \), where \( \Delta v \) is the change in velocity and \( \Delta t \) is the time taken. Both Isla and Hazel have the same \( \Delta v \) (30 m/s), but Isla's \( \Delta t \) (5 s) is shorter than Hazel's (10 s). The first option is wrong as the sign of acceleration isn't indicated by time difference. The third option is also wrong for the same reason. The fourth option is incorrect because acceleration doesn't depend on distance traveled but on velocity change over time. So the correct reason is that Isla's change in velocity occurred over a shorter time than Hazel's.

Answer:

B. Isla’s change in velocity occurred over a shorter time than Hazel’s.