/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. 32 FIGURE EX2.32 shows the accelera... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 2: Q. 32 (page 60)

FIGURE EX2.32 shows the acceleration graph for a particle that starts from rest at t = 0 s. What is the particle鈥檚 velocity at t = 6 s?

Short Answer

Expert verified

The velocity of a particle at t=6sis 30 m s-1.

Step by step solution

01

Given information

The initial velocity of a particle, v0=0ms

Initial time,

02

The velocity of a particle.

The velocity of a particle between time zero and 6 s is the area under the curve from time zero to tf=6s. In this case, the curve is a triangle.

Thus, the area of a triangle is calculated as follows.

鈭�v=12脳6s脳10ms2=30ms

Now,

The velocity of a particle at tf=6sis given by

area under the acceleration curve between and

vf=0ms+30ms=30ms

Therefore, the velocity of a particle at t=6sis 30ms.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

A particle moving along the x-axis has its velocity described by the function vx=2t2m/s, where t is in s. Its initial position is x0 = 1 m at t0 = 0 s. At t = 1 s what are the particle鈥檚 (a) position, (b) velocity, and (c) acceleration?

Two cars are driving at the same constant speed on a

straight road, with car 1 in front of car 2. Car 1 suddenly starts

to brake with constant acceleration and stops in 10 m. At the

instant car 1 comes to a stop, car 2 begins to brake with the

same acceleration. It comes to a halt just as it reaches the back of car 1. What was the separation between the cars before they starting braking?

A rock is dropped from the top of a tall building. The rock鈥檚 displacement in the last second before it hits the ground is 45% of the entire distance it falls. How tall is the building?

David is driving a steady 30 m/s when he passes Tina, who is sitting in her car at rest. Tina begins to accelerate at a steady 2.0 m/s2 at the instant when David passes.

a. How far does Tina drive before passing David?

b. What is her speed as she passes him?

As a science project, you drop a watermelon off the top of the Empire State Building, 320 m above the sidewalk. It so happens that Superman flies by at the instant you release the watermelon. Superman is headed straight down with a speed of 35 m/s. How fast is the watermelon going when it passes Superman?
See all solutions

Recommended explanations on Physics Textbooks

Geometrical and Physical Optics

Read Explanation

Fluids

Read Explanation

Rotational Dynamics

Read Explanation

Wave Optics

Read Explanation

Waves Physics

Read Explanation

Famous Physicists

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.