Can someone answer this math question

The second missile will destroy first missile at hieght of 64.76m above the ground at time 19.15475 seconds

Step-by-step explanation:

Step-by-step explanation:

The military is performing missile test,

The one missile is launched from the ground and its path is modeled by the equation as : y= f(x) =

After 10 seconds, Second heat-seeking missile is launched and its path is modeled by the equation as : y= g(x) =

After 10 seconds, first missile will be at height of f(10)

f(10) =

f(10) =  

When both the missile collide each other at same hieght of y

Also. If x is time for f(x) then, time for g(x) will be x-10 such that Second heat-seeking missile is launched after 10 second of  first missile is launched

At time of collision, f(x)=g(x-10)

Roots of x are 19.15475  and -39.1547

Negative time is not possible

Therefore, time at x=19.15475 seconds

And both missiles collide as y=f(19.15475 ) or g(19.15475 -10)

f(x) =

f(19.15475) =

f(19.15475) = 64.76m above the ground.

Thus, The second missile will destroy first missile at hieght of 64.76m above the ground at time 19.15475 seconds

step-by-step explanation: