QUESTION 2 An object moves along the s-axis, where its position relative to the origin is given by the function s(t) = at3 - 20t² + ct+d, where s is in centimetres and it is in seconds. Other information about the motion of the object is given below. the object changes direction at 4 seconds Vertex • the total distance travelled in the first 5 seconds is 342 cm • acceleration of the object at 7 seconds is 36 cm/s² (+) • the second time the object changes direction, it is located at s = 344 cm. Determine the exact values of a, c and d.

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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QUESTION 2
An object moves along the s-axis, where its position relative to the origin is given by the
function s(t) = at3 - 20t² + ct+d, where s is in centimetres and t is in seconds.
Other information about the motion of the object is given below.
the object changes direction at 4 seconds Vertex
• the total distance travelled in the first 5 seconds is 342 cm
• acceleration of the object at 7 seconds is 36 cm/s²
(+)
• the second time the object changes direction, it is located at s = 344 cm.
Determine the exact values of a, c and d.
Transcribed Image Text:QUESTION 2 An object moves along the s-axis, where its position relative to the origin is given by the function s(t) = at3 - 20t² + ct+d, where s is in centimetres and t is in seconds. Other information about the motion of the object is given below. the object changes direction at 4 seconds Vertex • the total distance travelled in the first 5 seconds is 342 cm • acceleration of the object at 7 seconds is 36 cm/s² (+) • the second time the object changes direction, it is located at s = 344 cm. Determine the exact values of a, c and d.
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