Question

H(t)=-16t^2+24t+40.0

Answer 1

Answer:

t = -1 or 5/2

Step-by-step explanation:

To find t; we equate H(t) = 0

-16t^2+24t+40.0= 0

dividing through by 8 we have ;

-16t^2 / 8+ 24t/8+40.0/8=0

-2t^2 + 3t + 5=0

-2t^2 + 5t -2t + 5=0

By factorisation;

t(-2t + 5) +1 (-2t + 5)=0

This means;

(t + 1)(-2t +5)= 0

t + 1 = 0 or -2t + 5 = 0;

t= -1 ; -2t = -5

2t = 5

t = 5/2;

Hence t = -1 or 5/2