An astronaut on the moon throws a baseball upward. The astronaut is 6​ ft, 6 in.​ tall, and the initial velocity of the ball is 40ft per sec. The height s of the ball in feet is given by the equation s equals negative 2.7 t squared plus 40 t plus 6.5s=−2.7t2+40t+6.5​, where t is the number of seconds after the ball was thrown. Complete parts a and b. a. After how many seconds is the ball 20ft above the​ moon's surface?   After 14.47 comma 0.3514.47,0.35 seconds the ball will be 20ft above the​ moon's surface. ​(Round to the nearest hundredth as needed. Use a comma to separate answers as​ needed.) b. How many seconds will it take for the ball to hit the​ moon's surface?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter9: Quadratic Functions And Equations
Section9.6: Solving Quadratic Equations By Using The Quadratic Formula
Problem 15CYU
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An astronaut on the moon throws a baseball upward. The astronaut is 6​ ft, 6 in.​ tall, and the initial velocity of the ball is
40ft per sec. The height s of the ball in feet is given by the equation
s equals negative 2.7 t squared plus 40 t plus 6.5s=−2.7t2+40t+6.5​,
where t is the number of seconds after the ball was thrown. Complete parts a and b.
a. After how many seconds is the ball
20ft above the​ moon's surface?
 
After
14.47 comma 0.3514.47,0.35
seconds the ball will be
20ft above the​ moon's surface.
​(Round to the nearest hundredth as needed. Use a comma to separate answers as​ needed.)
b. How many seconds will it take for the ball to hit the​ moon's surface?
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