1. A car is moving in a linear path with velocity, v = 35 sin t for t = 1.5 s from rest. The car then maintains the velocity for 10 seconds before the driver hit the brake after seeing a dog on the road. Given that the dog is 500 m away from the car, (a) find out the minimum constant deceleration needed by the car in order for the car not to hit the dog. (b) find the time for the car to stop during the brake. (c) find the total distance moved by the car from rest to stop with the minimum constant deceleration. (d) sketch the velocity-time (v-t) graph of the car from rest to stop with the minimum constant deceleration.

1. A car is moving in a linear path with velocity, v = 35 sin t for t = 1.5 s from rest. The car then maintains the velocity for 10 seconds before the driver hit the brake after seeing a dog on the road. Given that the dog is 500 m away from the car, (a) find out the minimum constant deceleration needed by the car in order for the car not to hit the dog. (b) find the time for the car to stop during the brake. (c) find the total distance moved by the car from rest to stop with the minimum constant deceleration. (d) sketch the velocity-time (v-t) graph of the car from rest to stop with the minimum constant deceleration.

Name: 1. A car is moving in a linear path with velocity, v = 35 sin t for t
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Description: 1. A car is moving in a linear path with velocity, v = 35 sin t for t = 1.5 s from rest. The car thenmaintains the velocity for 10 seconds before the driver hit the brake after seeing a dog on theroad. Given that the dog is 500 m away from the car,(

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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Concept explainers

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.

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Question

1. A car is moving in a linear path with velocity, v = 35 sin t for t = 1.5 s from rest. The car then
maintains the velocity for 10 seconds before the driver hit the brake after seeing a dog on the
road. Given that the dog is 500 m away from the car,
(a) find out the minimum constant deceleration needed by the car in order for the car not to
hit the dog.
(b) find the time for the car to stop during the brake.
(c) find the total distance moved by the car from rest to stop with the minimum constant
deceleration.
(d) sketch the velocity-time (v-t) graph of the car from rest to stop with the minimum constant
deceleration.

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