**Problem Statement:**Suppose the position of an object moving in a straight line is given by $ s(t) = 4t^2 + 5t + 2 $. Find the instantaneous velocity when $ t = 1 $.**Explanation:**This problem involves finding the instantaneous velocity of an object based on its position function $ s(t) $. The position function is a quadratic expression in terms of time $ t $.**Solution Strategy:**1. **Differentiate the Position Function:** - To find the instantaneous velocity, differentiate the position function $ s(t) $ with respect to time $ t $. This gives the velocity function $ v(t) $.2. **Evaluate the Velocity Function:** - Substitute $ t = 1 $ into the velocity function to find the instantaneous velocity at that specific time. **Problem Statement:**A borrower had a loan of $80,000.00 at 5% compounded annually, with 7 annual payments. Suppose the borrower paid off the loan after 4 years. Calculate the amount needed to pay off the loan.*Calculation Required:*- Determine the outstanding loan balance after 4 years. Since no specific table, graph, or diagram was provided, the focus here is on understanding the loan repayment calculation with given parameters.

Name: **Problem Statement:**Suppose the position of an object moving in a s
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Description: **Problem Statement:**Suppose the position of an object moving in a straight line is given by $ s(t) = 4t^2 + 5t + 2 $. Find the instantaneous velocity when $ t = 1 $.**Explanation:**This problem involves finding the instantaneous velocity of an

The position of the object is given by, St=4t2+5t+2..............(1) Where, S=displacement…

Answered: Suppose the position of an object…

Science

Physics

Suppose the position of an object moving in a straight line is given by s(t) = 4t² + 5t + 2. Find the instantaneous velocity when t= 1.

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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