Question 161515
s = 16t^2 + 32t
175=16t^2+32t
16t^2+32t-175=0
Using the quadratic equation:{{{t = (-b +- sqrt( b^2-4*a*c ))/(2*a) }}}We get:
t=(-32+-sqrt32^2-4*16*-175])/2*16
t=(-32+-sqrt[1,024+11,200])/32
t=(-32+-sqrt12,224)/32
t=(-32+-110.562)/32
t=(-32+110.562)/32
t=78.562/32
t=2.455 seconds
Proof:
175=16*2.455^2+32*2.455
175=16*6.027+78.56
175=96.432+78.56
175~174.992