College Physics
11th Edition
ISBN: 9781305952300
Author: Raymond A. Serway, Chris Vuille
Publisher: Cengage Learning
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- An ocean liner leaves New York City and travels 16.2°north of east for 117 km. How far east and how far north has it gone? In other words, what are the magnitudes of the components of the ship's displacement vector in the directions (a) due east and (b) due north? S (a) Number i Units (b) Number i Unitsarrow_forwardA girl delivering newspapers covers her route by traveling 5.00 blocks west, 4.00 blocks north, and then 4.00 blocks east. (a) What is her resultant displacement? Your response differs from the correct answer by more than 10%. Double check your calculations. blocksarrow_forwardThe velocity of an object is given by, = u + at V ds dt. where, u is the initial velocity, a is the acceleration, and ₺ is the time in seconds. Solve the differential equation to obtain the displacement, s, given that at t = 0, s = 7 (metres) : 1 if u = 3 ms ¹, a = 2.4 ms 2, calculate the displacements at t = 4.9 seconds. Give your answer to 2 decimal places.arrow_forward
- Can you go step by step.arrow_forwardOne afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.91 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number Units (b) Number i Units (c) Number i Unitsarrow_forwardThe acceleration of a particle is a constant. At t=0 the velocity of the particle is (14.91 + 18.4ĵ) m/s. At t = 4.6 s the velocity is 11.4j m/s. (Use the following as necessary: t. Do not include units in your answers.) (a) What is the particle's acceleration (in m/s²)? = î+ 18.4 v(t) = (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin. r(t) = î+ X Î- i) m/s m/sarrow_forward
- One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.37 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple's displacement? (c) What is the direction (relative to due east) of the couple's displacement? (a) Number i Units (b) Number i (c) Number i Units Unitsarrow_forwardA velocity vector has a magnitude of 1.85 m/s and makes an angle of 155 ̊ with the +x axis.(a) Sketch a diagram of the vector and show the x and y components.(b) Calculate the x and y components of the vector.arrow_forwardThe magnitude of vector A is 40.0 units and points in the direction 335° counterclockwise from the positive x-axis. Calculate the x- and y-components of this vector. Ax= Ay=arrow_forward
- If you want to go by train from Los Angeles to New York, you must make a stop. First, you musttravel 1800 miles East to reach New Orleans. Then you must travel 1300 miles at 45◦ North of Eastto reach New York.(a) Graph the vectors for each segment of the trip and the resulting displacement. Each tick markshould represent 300 miles.(b) If you flew directly from Los Angeles to New York, how far would the flight be? Please show your workarrow_forwardhelp answer please.arrow_forwardI need help with this practice problem. I was given the answer key but I need help solving it step by step. A car drives North for 1 km. Then it turns and drives 2 km at 30◦ South of West.Finally the driver turns again and drives 0.5 km Northwest.(a) What is the total distance driven?(b) What are the magnitude and direction of the car’s overall displacement? Answer Key: a.) 3.5 km b.) .11 km, 9.55◦arrow_forward
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