SOLUTION: how many seconds after it was shot will the charge first be 2000 feet high? how many seconds after it was shot will be charge next be 2000 feet high? the equation is -16t^2 +1000

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Question 917284: how many seconds after it was shot will the charge first be 2000 feet high?
how many seconds after it was shot will be charge next be 2000 feet high?
the equation is -16t^2 +1000t+50
Answer by srinivas.g(540) About Me  (Show Source):
You can put this solution on YOUR website!
h= -16t^2+1000 t+50
if h= 2000 ft
then 2000 = -16t^2+1000t +50
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: t=60.4850389088163,t=2.01496109118375.
  • Graphical form: Equation 2000=-16t%5E2%2B1000t%2B50 was fully solved.
  • Text form: 2000=-16t^2+1000t+50 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+2000=-16t%5E2%2B1000t%2B50+%29
    For tutors: simplify_cartoon( 2000=-16t^2+1000t+50 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 2000=highlight_red%28+-16%2At%5E2%2B1000%2At%2B50+%29.
Moved these terms to the left highlight_green%28+16%2At%5E2+%29,highlight_green%28+-1000%2At+%29,highlight_green%28+-50+%29
It becomes .
Look at highlight_red%28+2000+%29%2B16%2At%5E2-1000%2At-highlight_red%28+50+%29=0.
Added fractions or integers together
It becomes highlight_green%28+1950+%29%2B16%2At%5E2-1000%2At=0.
Look at highlight_red%28+1950+%29%2B16%2At%5E2-1000%2At=0.
Moved 1950 to the right of expression
It becomes 16%2At%5E2-1000%2At%2Bhighlight_green%28+1950+%29=0.
Look at highlight_red%28+16%2At%5E2-1000%2At%2B1950+%29=0.
Equation highlight_red%28+16%2At%5E2-1000%2At%2B1950=0+%29 is a quadratic equation: 16*t^2-1000*t+1950 =0, and has solutions 60.4850389088163,2.01496109118375
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: t=60.4850389088163,t=2.01496109118375.

Universal Simplifier and Solver


Done!


hence after 2 seconds or 60 seconds it will reach 2000 ft ------statement1
when h =2000 ft+2000 ft ( further 2000 ft)
4000 =-16t^2+1000t +50
Solved by pluggable solver: EXPLAIN simplification of an expression
Your Result:


YOUR ANSWER


  • This is an equation! Solutions: t=58.2627284812179,t=4.23727151878211.
  • Graphical form: Equation 4000=-16t%5E2%2B1000t%2B50 was fully solved.
  • Text form: 4000=-16t^2+1000t+50 simplifies to 0=0
  • Cartoon (animation) form: simplify_cartoon%28+4000=-16t%5E2%2B1000t%2B50+%29
    For tutors: simplify_cartoon( 4000=-16t^2+1000t+50 )
  • If you have a website, here's a link to this solution.

DETAILED EXPLANATION

Look at 4000=highlight_red%28+-16%2At%5E2%2B1000%2At%2B50+%29.
Moved these terms to the left highlight_green%28+16%2At%5E2+%29,highlight_green%28+-1000%2At+%29,highlight_green%28+-50+%29
It becomes .
Look at highlight_red%28+4000+%29%2B16%2At%5E2-1000%2At-highlight_red%28+50+%29=0.
Added fractions or integers together
It becomes highlight_green%28+3950+%29%2B16%2At%5E2-1000%2At=0.
Look at highlight_red%28+3950+%29%2B16%2At%5E2-1000%2At=0.
Moved 3950 to the right of expression
It becomes 16%2At%5E2-1000%2At%2Bhighlight_green%28+3950+%29=0.
Look at highlight_red%28+16%2At%5E2-1000%2At%2B3950+%29=0.
Equation highlight_red%28+16%2At%5E2-1000%2At%2B3950=0+%29 is a quadratic equation: 16*t^2-1000*t+3950 =0, and has solutions 58.2627284812179,4.23727151878211
It becomes highlight_green%28+0+%29=0.
Result: 0=0
This is an equation! Solutions: t=58.2627284812179,t=4.23727151878211.

Universal Simplifier and Solver


Done!


Hence after 4 seconds or 58 seconds it will further reach 2000 ft....statement 2
from above statements it is concluded that first 2000 ft will be reached in 2 seconds and further 2000 ft will reached in 4 seconds