Physics 151 Week 4 Day 2 Topics –Motion Graphs –Area under a curve (velocity to position) –Constant acceleration equations

Slide 2-4 Motion Graph Demonstrations

Slide 2-34 Velocity to Position: Example 1 Find the position at times t = 1, 2, 3, 4, and 5 seconds. Assume x (t = 0 sec) = 0 m. What is the displacement of the object between t = 1s and t = 3 s?

Slide 2-34 Velocity to Position: Example 2 Describe in words the motion of the object whose velocity graph is given below. What is happening at t = 2 s? Draw a motion diagram of the objects motion. Draw the corresponding position vs. time graph. Assume initial position is 5 m. Give an example of an object that would move this way

An arrow is launched vertically upward. It moves straight up to a maximum height, then falls to the ground. The trajectory of the arrow is noted. Which graph best represents the vertical velocity of the arrow as a function of time? Ignore air resistance; the only force acting is gravity. Slide 2-28 Checking Understanding

An arrow is launched vertically upward. It moves straight up to a maximum height, then falls to the ground. The trajectory of the arrow is noted. Which graph best represents the vertical velocity of the arrow as a function of time? Ignore air resistance; the only force acting is gravity. Slide 2-29 Answer

Slide 2-34 Start your engine (velocity and acceleration) On the on ramp to Interstate 25 a car accelerates at 7 m/s 2 from rest. What is the car's velocity at 1 second after it starts from rest? 2 seconds? 3 seconds? 4 seconds? Express your reasoning in words.