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Chapter 10: Q. 139 (page 1196)

A flare is fired straight up from a ship at sea. Solve the equation 16(t2-13t+40)=0 for t, the number of seconds it will take for the flare to be at an altitude of 640 feet.

Short Answer

Expert verified

t = 0 and t = 13 .

Step by step solution

01

Step 1. Given equation 

16(t2-13t+40)=0, Altitude = 640 feet .

02

Step 2. Solving 

Given equation is ,

16(t2-13t+40)=0Now,16(t2-13t+40)=640t2-13t+40=40t(t-13)=0

Therefore , t = 0 and t = 13 are two possible value .

03

Step 3. Checking 

Att=0,16((0)2-13(0)+40)=16(40)=640Att=13,16(鈥�(13)2-13(13)+40)=640

Therefore , 0 and 13 are satisfying the value .

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