Toby is jogging at a constant speed of 3 m/s along a winding path. He is accelerating even though he is going at a constant speed. how is this possible? please help..
Acceleration is the rate at which an object changes its velocity. Although Toby is jogging at a constant speed of 3 m/s, he can still be accelerating because acceleration is not only dependent on speed but also on the direction of motion.
In this case, if Toby is jogging along a winding path, the direction of his velocity is changing. Even though his speed remains constant at 3 m/s, his velocity is changing because velocity is a vector quantity that includes both magnitude (speed) and direction. As Toby turns along the winding path, his velocity vector changes its direction, indicating a change in velocity.
To calculate this acceleration, we need to determine the rate of change of Toby's velocity. Since acceleration is defined as the change in velocity over time, we can use the formula:
Acceleration = Change in velocity / Time
Since Toby's speed remains constant, the change in velocity is solely due to the change in direction as he jogs along the winding path. Therefore, his acceleration is not caused by changes in speed, but by the changes in direction he experiences.