Explanation Given, s ( t ) = − 16 t 2 + 80 t The above obtained expression is a quadratic expression in ‘ t ’ Comparing with the equation of a quadratic function f ( x ) = a x 2 + b x + c We have, a = − 16 , b = 80 and c = 0 The coefficient of the t 2 term of the obtained expression for s ( t ) is negative. Thus, the graph of the function s ( t ) . Which is a parabola must open downward and its vertex is the highest point. Using the vertex formula, the vertex of the parabola is given by = ( − b 2 a , c − b 2 4 a ) = ( − 80 2 ( − 16 ) , 0 − ( 80 ) 2 4 ( − 16 ) ) = ( − 80 − 32 , − 6400 − 64 ) = ( 2.5 , 100 ) Thus, the time taken to reach maximum height is given by the x -coordinate of the vertex t = 2.5 seconds . s ( t ) = − 16 t 2 + 80 t The object returns to the point from which it was thrown. (i.e.) s ( t ) = 0 Find the x -intercept: s ( t ) = − 16 t 2 + 80 t Substitute s ( t ) = 0 in the above equation

WebAssign with Corequisite Support for Gustafson/Hughes' College Algebra, 12th Edition [Instant Access], Single-Term

12th Edition

ISBN: 9780357422533

Author: Gustafson; R. David; Hughes; Jeff

Publisher: Cengage Learning US

See similar textbooks

Concept explainers

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differentia…

Videos

Question

Chapter 4.1, Problem 86E

To determine

To prove:

That the tossed object took same amount of time for to reach maximum height and to return from that height to the point from which it was thrown.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 4.1, Problem 85E

Chapter 4.1, Problem 87E

Students have asked these similar questions

Find the perimeter and area

Assume {u1, U2, us} spans R³. Select the best statement. A. {U1, U2, us, u4} spans R³ unless u is the zero vector. B. {U1, U2, us, u4} always spans R³. C. {U1, U2, us, u4} spans R³ unless u is a scalar multiple of another vector in the set. D. We do not have sufficient information to determine if {u₁, u2, 43, 114} spans R³. OE. {U1, U2, 3, 4} never spans R³. F. none of the above

Assume {u1, U2, 13, 14} spans R³. Select the best statement. A. {U1, U2, u3} never spans R³ since it is a proper subset of a spanning set. B. {U1, U2, u3} spans R³ unless one of the vectors is the zero vector. C. {u1, U2, us} spans R³ unless one of the vectors is a scalar multiple of another vector in the set. D. {U1, U2, us} always spans R³. E. {U1, U2, u3} may, but does not have to, span R³. F. none of the above

Chapter 4 Solutions

WebAssign with Corequisite Support for Gustafson/Hughes' College Algebra, 12th Edition [Instant Access], Single-Term

Ch. 4.1 - Find the vertex of the graph of the quadratic...Ch. 4.1 - Prob. 2SC Ch. 4.1 - Prob. 3SC Ch. 4.1 - Prob. 4SC Ch. 4.1 - Find the largest area possible if the association...Ch. 4.1 - A company that makes and sells baseball caps has...Ch. 4.1 - Fill in the blanks. A quadratic function is...Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.1 - Prob. 4E

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

To prove: That the tossed object took same amount of time for to reach maximum height and to return from that height to the point from which it was thrown.

Solution Summary: The author explains that the tossed object took the same amount of time for to reach maximum height and to return from that height to the point from which it was thrown.