Exploration Student Worksheet: Solving Motion Problems Overview Understanding the concept of acceleration and velocity helps in analyzing the motion of a body. In this Exploration, you analyze the motion of a car on a straight-line path or a curved path and observe values of physical quantities such as average acceleration and average speed. Questions 1. In the Exploration, the magnitudes of instantaneous velocity and instantaneous speed are always equal. Explain why the magnitudes of average velocity and average speed for a curved path are different. 2. Using a real-world example other than a car rounding a corner, explain a situation when the distance an object travels is different than the displacement it travels. 3. An object moving with an initial velocity of 6.0 m/s comes to a complete stop in 4.0 seconds. Calculate its average acceleration. High School Explorations Name ________________________ Date __________ Worksheet: Solving Motion Problems Discovery Communications Inc. 4. Observe the instantaneous velocity data along the curved path. Identify whether the velocity of the cornering car is constant or varying. 5. A graph of velocity versus time (velocity displayed in m/s and time in seconds) displays a constant slope of 2 and a y-intercept of 4. Explain what can be inferred from the given data. 6. Calculate the acceleration of a truck moving along a straight path if its speed increases from 0.0 m/s to 15 m/s in 10.0 s. 7. If an object has an initial velocity of 2.0 m/s and its rate of change in velocity is 3.0 m/s2 , calculate its final velocity after 4.0 seconds. High School Explorations Name ________________________ Date __________ Worksheet: Solving Motion Problems Discovery Communications Inc. 8. Determine which of the following statements are true or false. If false, use the space below to correct the statement so that it is true. a. Two bodies moving in opposite directions but with the same speed have the same velocity. b. An object covers a distance of 10 m and returns to its initial position. The values for distance and displacement are the same. 9. Calculate the acceleration of a car if its speed increases from 4.0 m/s to 16 m/s in 3.7 s. 10.An object covers a distance of 6.0 km and then turns left. It then covers a distance of 8.0 km. If it takes 10.0 seconds to cover the entire distance, determine the average speed and the average velocity of the object.