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4) The figure below shows the initial position i and the final position fof a particle. What are the (a) initial position vector r, and (b) final position vector r, both in unit-vector notation? (c) What is the x component of displacement Ar?

4) The figure below shows the initial position i and the final position fof a particle. What are the (a) initial position vector r, and (b) final position vector r, both in unit-vector notation? (c) What is the x component of displacement Ar?

College Physics
College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
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Number 4 part a b and c show all step
1) The position of an object as a function of time is given by r(t) = (3.00 t² – 2.00 t) î – 1.00 t³ j m. Find: (a) its velocity at t=2.00 s; (b) its acceleration at t=4.00 s; (c) its average acceleration between =1.00 s and t= 3.00 s. 2) At t=0 a particle at the origin has a velocity of 15.1 m/s at 36° above the horizontal x axis. At t = 5.00 s it is at x = 21.0 m and y= 35.0 m and its velocity is 30.0 m/s at 53° above the horizontal. Find: (a) its average velocity; (b) its average acceleration. 3) Personnel at an airport control tower track a UFO. At 11:02 a.m. it is located at a horizontal distance of 2.00 km in the direction 30'N of E at an altitude of 1200 m. At 11:15a.m. the location is 1.00 km at 45° S of E at an altitude of 800 m. What was the displacement of the UFO? Express your result in component notation. followis 1200 m 2 km 45 1 km 800 m 4) The figure below shows the initial position i and the final position f of a particle. What are the (a) initial position vector r, and (b) final position vector r, both in unit-vector notation? (c) What is the x component of displacement Ar ? 2m, Im? 4 m 4 m. Sm P 5m 5) A fastball pitcher can throw a baseball at a speed of 90.0 mi/h. (a) Assuming the pitcher can release the ball 16.7 m from home plate so the ball is moving horizontally, how long does it take the ball to reach home plate? (b) How far does the ball drop between the pitcher's hand and home plate?
Transcribed Image Text:1) The position of an object as a function of time is given by r(t) = (3.00 t² – 2.00 t) î – 1.00 t³ j m. Find: (a) its velocity at t=2.00 s; (b) its acceleration at t=4.00 s; (c) its average acceleration between =1.00 s and t= 3.00 s. 2) At t=0 a particle at the origin has a velocity of 15.1 m/s at 36° above the horizontal x axis. At t = 5.00 s it is at x = 21.0 m and y= 35.0 m and its velocity is 30.0 m/s at 53° above the horizontal. Find: (a) its average velocity; (b) its average acceleration. 3) Personnel at an airport control tower track a UFO. At 11:02 a.m. it is located at a horizontal distance of 2.00 km in the direction 30'N of E at an altitude of 1200 m. At 11:15a.m. the location is 1.00 km at 45° S of E at an altitude of 800 m. What was the displacement of the UFO? Express your result in component notation. followis 1200 m 2 km 45 1 km 800 m 4) The figure below shows the initial position i and the final position f of a particle. What are the (a) initial position vector r, and (b) final position vector r, both in unit-vector notation? (c) What is the x component of displacement Ar ? 2m, Im? 4 m 4 m. Sm P 5m 5) A fastball pitcher can throw a baseball at a speed of 90.0 mi/h. (a) Assuming the pitcher can release the ball 16.7 m from home plate so the ball is moving horizontally, how long does it take the ball to reach home plate? (b) How far does the ball drop between the pitcher's hand and home plate?
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