A speedboat moving at 34.0 m/s approaches a no-wake buoy marker 100 m ahead. The pilot slows the boat with a constant acceleration of -3.9 m/s2 by reducing the throttle.(a) How long does it take the boat to reach the buoy?(b) What is the velocity of the boat when it reaches the buoy?m/s A car is approaching a hill at 30.0 m/s when its engine suddenly fails, just at the bottom of the hill. The car moves with a constant acceleration of -2.00 m/s² while coasting up the hill.(a) Write equations for the position along the slope and for the velocity as functions of time, taking x = 0 at the bottom of the hill, where v, = 30.0 m/s. (Use the following as necessary: t.)x(t) =v(t) =(b) Determine the maximum distance the car travels up the hill.

A speedboat moving at 34.0 m/s approaches a no-wake buoy marker 100 m ahead. The pilot slows the boat with a constant acceleration of -3.9 m/s² by reducing the throttle. (a) How long does it take the boat to reach the buoy? (b) What is the velocity of the boat when it reaches the buoy? m/s

A speedboat moving at 34.0 m/s approaches a no-wake buoy marker 100 m ahead. The pilot slows the boat with a constant acceleration of -3.9 m/s² by reducing the throttle. (a) How long does it take the boat to reach the buoy? (b) What is the velocity of the boat when it reaches the buoy? m/s

Principles of Physics: A Calculus-Based Text

5th Edition

ISBN:9781133104261

Author:Raymond A. Serway, John W. Jewett

Publisher:Raymond A. Serway, John W. Jewett

Chapter2: Motion In One Dimension

Section: Chapter Questions

Problem 23P: The driver of a car slams on the brakes when he sees a tree blocking the road. The car slows...

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Concept explainers

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.

Question

A speedboat moving at 34.0 m/s approaches a no-wake buoy marker 100 m ahead. The pilot slows the boat with a constant acceleration of -3.9 m/s2 by reducing the throttle.
(a) How long does it take the boat to reach the buoy?
(b) What is the velocity of the boat when it reaches the buoy?
m/s

A car is approaching a hill at 30.0 m/s when its engine suddenly fails, just at the bottom of the hill. The car moves with a constant acceleration of -2.00 m/s² while coasting up the hill.
(a) Write equations for the position along the slope and for the velocity as functions of time, taking x = 0 at the bottom of the hill, where v, = 30.0 m/s. (Use the following as necessary: t.)
x(t) =
v(t) =
(b) Determine the maximum distance the car travels up the hill.

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