Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 10, Problem 9STP
To determine

To find: whether how long after the football is kicked does it hit the ground..

Expert Solution & Answer
Check Mark

Answer to Problem 9STP

The time will be of 2 seconds.

Explanation of Solution

Given information:

The given statement is a ball is kicked upward at the velocity of 32 feet per second.

Calculation:

A placekicker kicks a ball upward with a velocity of 32 feet per second.

  v0=32 ft/s

The height of an object after t seconds is modeled by the following quadratic equation,

  h(t)=v0×t16t2 ……. (1)

Substitute v0=32 ft/s in the above equation, the equation that models tha height of the ball will be,

  h(t)=32t16t2 …….. (2)

Compute the time after the football is kicked , it hits the ground, substitute h=0 in equation (2)

  h(t)=32t16t2 and solve for t ,

  0=32t16t2

  16t232t=0

  16t(t2)=0t(t2)=0

Apply zero product property,

  t=0t2=0t=2

The time t=0 represents when the kicker kicks the ball .so, the solution of the equation

  16t(t2)=0 is t=2

Therefore, after 2 seconds of the ball is kicked, it hits the ground.

Chapter 10 Solutions

Algebra 2

Ch. 10.1 - Prob. 7CYUCh. 10.1 - Prob. 8CYUCh. 10.1 - Prob. 9CYUCh. 10.1 - Prob. 10PPSCh. 10.1 - Prob. 11PPSCh. 10.1 - Prob. 12PPSCh. 10.1 - Prob. 13PPSCh. 10.1 - Prob. 14PPSCh. 10.1 - Prob. 15PPSCh. 10.1 - Prob. 16PPSCh. 10.1 - Prob. 17PPSCh. 10.1 - Prob. 18PPSCh. 10.1 - Prob. 19PPSCh. 10.1 - Prob. 20PPSCh. 10.1 - Prob. 21PPSCh. 10.1 - Prob. 22PPSCh. 10.1 - Prob. 23PPSCh. 10.1 - Prob. 24PPSCh. 10.1 - Prob. 25PPSCh. 10.1 - Prob. 26PPSCh. 10.1 - Prob. 27PPSCh. 10.1 - Prob. 28PPSCh. 10.1 - Prob. 29PPSCh. 10.1 - Prob. 30PPSCh. 10.1 - Prob. 31PPSCh. 10.1 - Prob. 32PPSCh. 10.1 - Prob. 33PPSCh. 10.1 - Prob. 34PPSCh. 10.1 - Prob. 35PPSCh. 10.1 - Prob. 36PPSCh. 10.1 - Prob. 37PPSCh. 10.1 - Prob. 38PPSCh. 10.1 - Prob. 39PPSCh. 10.1 - Prob. 40PPSCh. 10.1 - Prob. 41PPSCh. 10.1 - Prob. 42HPCh. 10.1 - Prob. 43HPCh. 10.1 - Prob. 44HPCh. 10.1 - Prob. 45HPCh. 10.1 - Prob. 46HPCh. 10.1 - Prob. 47STPCh. 10.1 - Prob. 48STPCh. 10.1 - Prob. 49STPCh. 10.1 - Prob. 50STPCh. 10.1 - Prob. 51SRCh. 10.1 - Prob. 52SRCh. 10.1 - 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