/*! 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. 218 A stone is dropped from a 196-fo... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 11: Q. 218 (page 1069)

A stone is dropped from a 196-foot platform. Use the formula h=-16t2+vot+196to determine how many seconds it will take for the stone to hit the ground. (Since the stone is dropped,vo=0)

Short Answer

Expert verified

It will take3.5secondsfor stone to hit the ground.

Step by step solution

01

Step 1. Given Information  

The given data is the formula of projectileh=-16t2+vot+196

02

Step 2. Calculation  

Substitute vo=0in the given formula.

h=-16t2+(0)t+196h=-16t2+196

When the stone will hit the ground, the height will become zero.

-16t2+196=0

On comparing with the standard form, we have, a=-16,b=0,c=196

Now, use the quadratic formula to find the value of time.

x=-b卤b2-4ac2at=-0卤(0)2-4(-16)(196)2(-16)t=卤12544-32t鈮�-3.5,3.5

As time can not be negative, so we will discard the negative value.

Thus, it will take 3.5sfor stone to hit the ground.

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

Simplify the rational expression 8m3n12mn2.

In the following exercises, factor completely.

8x3-27y3

In the following exercises, write with a rational exponent.

Part (a):25a3

Part (b): 3b

Part (c):40c8

In the following exercises, factor each trinomial of the form

x2+bxy+cy2m2-64mn-65n2

Alice can paint a room in 6 hours. If Kristina helps her it takes them 4 hours to paint the room. How long would it take Kristina to paint the room by herself?
See all solutions

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Read Explanation

Mechanics Maths

Read Explanation

Decision Maths

Read Explanation

Probability and Statistics

Read Explanation

Geometry

Read Explanation

Statistics

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.