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Examples and problems related to the graphs and position functions of particles in physics. Students are asked to determine when each particle is speeding up or slowing down based on the given graphs. Additionally, students are required to find velocities, accelerations, and distances for various position functions. Useful for university students taking a physics course.
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Example 1.When is each particle speeding up? When is it slowing down? Explain. v Graphs of the velocity functions of two particles are shown, where t is measured in seconds. (a) (^0 1) t (b) v 0 1 t
Example 2.When is each particle speeding up? When is it slowing down? Explain. s Graphs of the position functions of two particles are shown, where t is measured in seconds. (a) (^0 1) t (b) s 0 1 t
where(a) Find the velocity at time t is measured in seconds and t. s in feet.
(b) When is the particle at rest. (c) When is the particle moving in the positive direction? (d) Find the total distance traveled in first 8 seconds
(b) What is the balls maximum height? (c) When will the ball hit the ground? (d) How fast is the ball traveling when it is 2 meters above the ground on the way down?