Honors Physics Unit 5 Review Sheet Motion in 1D. Position vs. Time Graph
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1 Honors Physics Unit 5 Review Sheet Motion in 1D Name Date 1. Draw the position, velocity and acceleration vs. time graphs for the 7 scenarios of motion discussed in class. Motion Description Sign for v & a Position vs. Time Velocity vs. Time Acceleration vs. Time At Rest Constant Velocity Constant Velocity Speeding Up Slowing Down Speeding Up Slowing Down. A motorcycle starts from rest and has a constant acceleration. In a certain time interval, its displacement triples. In the same time interval, by what factor does its velocity increase? 3. A car is traveling along a straight road and is decelerating. Does the car s acceleration a necessarily have a negative value?
2 . A bicyclist accelerates from rest to a velocity of m/s at a rate of +1.5 m/s/s. Once at this velocity, the cyclist continues for 10 minutes. Next she approaches a hill and accelerates at a rate of -1.0 m/s/s for 10 s to a velocity of m/s. The cyclist maintains this velocity for the remainder of the uphill decent of 5 m. a. How far has the bicyclist traveled during the entire trip? b. How long did the total trip take her from her starting point to the top of the hill? c. What is her average velocity for the trip? 5. Use the position vs. time graph below to answer the questions that follow. a. What is the position at 9 seconds? N 1 10 b. Describe the motion of the object during each segment. c. What is the velocity of the object from 0 s to 3 s? d. What is the velocity of the object from 3 s to 7 s? 8 position 6 (m) 0 S e. Draw the velocity vs. time and acceleration vs. time graphs that correspond with the above graph. velocity acceleration
3 6. Use the velocity vs. time graph below to answer North the questions that follow. 6 a. What is the instantaneous velocity at 3 seconds? 1 b. Describe the motion of the object during velocity each interval. 0 c. What is the acceleration of the object from 0 s to 1 s? - d. What is the displacement of the object - 3 from s to.5 s? -6 e. What is the acceleration of the object South from to.5 s? f. How far has the object traveled between.5 and 5 s? g. Draw the position vs. time and acceleration vs. time graphs that corresponds to this velocity vs. time graph. acceleration Position 7. A football game customarily begins with a coin toss to determine who kicks off. The referee tosses the coin up with an initial velocity of 5.0 m/s. In the absence of air resistance, how high does the coin go above its point of release? 8. A car has uniformly accelerated motion and starting from rest has a velocity of + 37 m/s after traveling 175 m. Find the car s acceleration. 9. A train running at +6.8 m/s is stopped uniform acceleration (deceleration) in seconds by the application of the brakes. a. What is the acceleration? b. What is the distance traveled before coming to rest? 10. A book is dropped.5 m from a second floor balcony. A 1.65-m tall person that was 3.0 m away when the book was dropped is able to catch the book at waist level (1.0 m above the ground). How fast was the person walking?
4 Unit V Motion in 1D STUDY GUIDE Vocabulary & Concepts Scalar Vector Time Distance Speed Position Displacement Velocity constant + velocity graphs constant velocity graphs speeding up + graphs speeding up graphs Acceleration constant + acceleration graphs constant acceleration graphs Free Fall acceleration on the way up? acceleration at the top? acceleration on the way down Equations s = d/t v = x/t v f = v i + at Δx = ½ (v i + v f )t v f = v i + aδx Δx = v i t + ½ at Core Concepts Students will understand and interpret graphs of position, velocity, and acceleration vs. time for 7 scenarios of motion. Given a graph of position vs. time, calculate velocity and describe the motion of the object. Given a graph of velocity vs. time, calculate acceleration and describe the motion of the object. Students will be able to use the equations of constant acceleration to analyze motion. Students will be able to identify the velocity and acceleration of an object in free fall in all segments of motion: going up, coming down, and at the top.
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