SOLUTION: Hello, I need help with the following math problem: "The equation {{{ y=-16t^2+26t+105 }}} describes the height (in feet) of a ball tossed up in the air at 26 feet per second

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Question 1044085: Hello,
I need help with the following math problem:
"The equation describes the height (in feet) of a ball tossed up in the air at 26 feet per second from a height of 105 feet above the ground. In how many seconds will the ball hit the ground? Express your answer as a decimal rounded to the nearest tenth."
Thank you,
Nicole

Found 2 solutions by advanced_Learner, ankor@dixie-net.com:
Answer by advanced_Learner(501)   (Show Source): You can put this solution on YOUR website!
solve
-16t^2+26t+105=0
using the formula


gives

t=3.5 or t=-1.875
time cant be negative or t=3.5 is correct answer

your feedback

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
"The equation describes the height (in feet) of a ball tossed up in the air at 26 feet per second from a height of 105 feet above the ground.
In how many seconds will the ball hit the ground? Express your answer as a decimal rounded to the nearest tenth."
:
When it hits the ground y=0, therefore:

Use the quadratic formula; a=-16; b=26; c=105
I got a positive solution: t=3.5 seconds

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