Hi

h= -16t^2+185t+10, h = 0 when it hits the ground

 16t^2+185t+10 = 0

t = 11.6sec (to nearest tenth)

  


 
Solved by pluggable solver: SOLVE quadratic equation with variable
Quadratic equation  (in our case ) has the following solutons:

  

  

  

  For these solutions to exist, the discriminant  should not be a negative number.

  

  First, we need to compute the discriminant : .

  

  Discriminant d=34865 is greater than zero. That means that there are two solutions: .

  

    

    

    

    Quadratic expression  can be factored:

  

  Again, the answer is: -0.0538036897701293, 11.6163036897701.
Here's your graph:



  

RELATED QUESTIONS

Please help me solve this. An arrow is shot vertically upward from a platform 35 ft. high  (answered by stanbon)

an arrow is shot vertically from a platform 22 ft high at a rate of 175 ft per second.... (answered by Alan3354)

An arrow is shot vertically upward from a platform 40 feet high at a rate of 224 ft/s.... (answered by ankor@dixie-net.com)

An arrow is shot upward from a platform of 20ft high with an initial velocity of 184 ft... (answered by Alan3354,stanbon)

April shoots an arrow upward into the air at a speed of 64 ft per second from a platform... (answered by ewatrrr,Alan3354)

A projectile is launched upward at an initial velocity of 64 ft/sec from a platform. It... (answered by ankor@dixie-net.com)

An arrow with mass m is shot vertically upward with and initial velocity 160 ft/sec. It... (answered by Fombitz)

an arrow is shot vertically upward with a speed of 288ft/s, and 3.00 s later another is... (answered by Alan3354)

A stone is projected vertically upward from a platform that is 15 feet high at a rate of... (answered by richwmiller)