2. The path taken by a particle is a horizontal line as it moves according to the law 4 5,3 17.2 S = ²/t² + ²t²³ - 1¹/7t² + ½t + 1 .(a) At what time will its acceleration be equal to one? (b) What is its 2 velocity at that time?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Solve the second question.

B. Rectilinear Motion
Analyse and solve the following motion problems.
3
1. A particle moves horizontally according to the law s =
24t + 1. (a) Where is the particle
and at what velocity is it moving when t = 1? (b) When will the particle come to rest and what is its
acceleration at that time?
- t
2. The path taken by a particle is a horizontal line as it moves according to the law
4
3 17,2
S =
= ²/t²¹ + ²/t²³ - ¹1/²/t² + ½⁄t + 1 .(a) At what time will its acceleration be equal to one? (b) What is its
2
velocity at that time?
Transcribed Image Text:B. Rectilinear Motion Analyse and solve the following motion problems. 3 1. A particle moves horizontally according to the law s = 24t + 1. (a) Where is the particle and at what velocity is it moving when t = 1? (b) When will the particle come to rest and what is its acceleration at that time? - t 2. The path taken by a particle is a horizontal line as it moves according to the law 4 3 17,2 S = = ²/t²¹ + ²/t²³ - ¹1/²/t² + ½⁄t + 1 .(a) At what time will its acceleration be equal to one? (b) What is its 2 velocity at that time?
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