A boat is drifting to the right with a speed of 5.0 m/s when the driver turns on the motor. The motor runs for 6.0 s causing a constant leftward acceleration of magnitude 4.0 m/s^2 a) Draw a sketch of the scenario. b) Determine the displacement of the boat over the 6.0 s time interval? Give the correct sign for your answer, using a coordinate system where rightward is positive. Round the answer to two significant digits.

A boat is drifting to the right with a speed of 5.0 m/s when the driver turns on the motor. The motor runs for 6.0 s causing a constant leftward acceleration of magnitude 4.0 m/s^2 a) Draw a sketch of the scenario. b) Determine the displacement of the boat over the 6.0 s time interval? Give the correct sign for your answer, using a coordinate system where rightward is positive. Round the answer to two significant digits.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 36PQ

See similar textbooks

Similar questions

A basketball is rolling rightward onto the court with a speed of 4.0 m/s and slows down with a constant leftward acceleration of magnitude 0.50 m/s^2, after rolling 14m. a) Draw a sketch of the scenario and b) Determine the velocity of the basketball after rolling for 14m. Give the correct sign for your answer, using a coordinate system where rightward is positive. Round the answer to two significant digits.
Question: A train slows down as it rounds a sharp horizontal turn, going from 90.0km/h to 50.0km/h in the 15.0s it takes to round the bend. The radius of the curve is 150m. Compute the total acceleration at the moment the train speed reaches 50.0km/h. Assume the train continues to slow down at this time at the same rate. A. a-2 m/s? B. a-0.74 m/s? C. a=1.48 m/s? D. a=1.29 m/s? E. a=2 m/s?
A toy rocket is traveling to the right at 15.0 m/s when it undergoes a constant acceleration of 3.00 m/s2 to the left. a) How long does it take before the rocket stops moving to the right? b) What distance does the rocket travel before it stops moving to the right? c) What distance does it travel in 7.00 s?
A ball is thrown straight up at time t=0 with an initial speed of 15 m/s. Take the point of release to be y0=0 and upwards to be the positive direction. a) Calculate the displacement at the time of 0.50 s. b) Calculate the velocity at the time of 0.50 s.
A ball rolls down from the top of an inclined plane. The displacements for the first 3 seconds are 2.40 m, 9.84 m, and 22.00 m. a. What is the average velocity of the ball at the end of 1s? 2s? 3s? b. What is the average acceleration of the ball at the end of 1s? 2s? 3s? c. What is the average of the accelerations obtained in (b)?
A rocket moves straight upward, starting from rest with an acceleration of +29.4 m/s^2. It runs out of fuel at the end of 4.00 s and continues to coast upward, reaching a maximum height before falling back to Earth. a.) Find the rocket's velocity and position at the end of 4.00 s. b.) Find the maximum height the rocket reaches. c.) Find the velocity the instant before the rocket crashes on the ground.
A student at the top of a building of height h throws ball A straight upward with speed v0 and throws ball B straight downward with the same initial speed. a. Compare the balls’ accelerations, both direction and magnitude, immediately after they leave her hand. Is one acceleration larger than the other? Or are the magnitudes equal? b. Compare the final speeds of the balls as they reach the ground. Is one larger than the other? Or are they equal?
A student at the top of a building of height h throws ball A straight upward with speed ν0 and throws ball B straight downward with the same initial speed.a. Compare the balls’ accelerations, both direction and magnitude, immediately after they leave her hand. Is one acceleration larger than the other? Or are the magnitudes equal?b. Compare the final speeds of the balls as they reach the ground. Is one larger than the other? Or are they equal?
For projectile motion problems, the horizontal and vertical components of the motion of a projectile can be analyzed separately. Which of the following is TRUE about the horizontal component of its motion?a. The horizontal component of the acceleration is constant and is equal to -9.81 m/s^2b. The motion is uniformc. The horizontal component of the velocity varies with positiond. The motion is uniformly accelerated
A team at SQU fires a rocket beside the college of science from rest at an angle 30° and accelerates at 30 m/s2 for 3.0 s. The engine shuts off at a height 202.5 m above the ground. a) Calculate the speed of the rocket after 3s. b) At what time after t = 0 will the maximum height be reached? c) What maximum height will the rocket reach?
A sprinter running a 100-meter race starts at rest, accelerates at constant acceleration with magnitude A for 2 seconds, and then runs at constant speed until the end. a) Find the position (relative to the start position) and speed of the runner at the end of the 2 seconds in terms of A. b) Assume that the runner takes a total of 10 seconds to run the 100 meters. Find the value of the acceleration A. You can leave your answer in terms of a fraction but clearly indicate the units.
Problem 2 A man runs around a circular track of 800 meters radius for 30 seconds, starting at a point directly to the right of the center and goes in a counterclockwise manner. He goes 5 meters per second for the first 15 seconds, runs 90 meters for the next 6 seconds and then 180 meters for the rest of the course. A. What was his average speed? B. What was his displacement from the starting point? C. What was his average velocity? D. What will be his total displacement upon return to the starting point?