Adiver dives from a 10m springboard. the equation f(t) = -4.9t² + 4t + 10 models her height above the pool at time t. when will she be at her highest?

At time t = 0.408 sec diver will be at maximum height

Step-by-step explanation:

We have given equation of the height

We know that velocity is the rate of change of distance with respect to time

So

At maximum height velocity will be zero

So

t = 0.408 sec

So at time t = 0.408 sec diver will be at maximum height

step-by-step :

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.