al drives his car at a constant velocity of 60 mph.bob start at rest at a stoplight, then pushes the gas pedal, slowly speeding up until he reaches a velocity of 60mph.explain how their position time graphs will look different

To understand how the position-time graphs of Al and Bob will differ, we should consider the relationship between velocity, time, and position.

For Al, he drives his car at a constant velocity of 60 mph. This means that his velocity remains the same throughout the entire journey. As a result, Al's position-time graph will have a straight, horizontal line at a positive position value. This indicates that Al is continuously traveling at a constant position without any change over time.

On the other hand, Bob starts from rest at a stoplight and slowly accelerates until he reaches a velocity of 60 mph. Acceleration refers to the rate of change of velocity over time. As Bob accelerates, his velocity is increasing, resulting in a changing value over time.

Therefore, the position-time graph for Bob will be a curve that starts from the origin and gradually increases but at a decreasing rate compared to time. This curve shows that Bob's position is changing as he accelerates. Once Bob reaches a velocity of 60 mph, his graph will level off similar to Al's, as there won't be any change in velocity or position once he reaches a constant speed.

In summary, Al's position-time graph will be a straight horizontal line, indicating a constant position over time, while Bob's graph will be a curve, demonstrating a changing position as he accelerates until reaching a constant velocity.