Problem: 2=-4.9t^2+14.3t+2
Involves velocity stuff
2 = -4.9t^2 + 14.3t + 2
2 - 2 = -4.9t^2 + 14.3t + 2 - 2
0 = -4.9t^2 + 14.3t
-b ± sqrt(b^2 - 4*a*c)
t = -----------------------------
2a
-14.3 ± sqrt(14.3^2 - 4*(-4.9)*0)
t = ------------------------------------------
2(-4.9)
-14.3 ± sqrt(204.49 - 4*(-4.9)*0)
t = -------------------------------------------
-9.8
-14.3 ± sqrt(204.49)
t = -----------------------------
-9.8
-14.3 ± 14.3
t = -------------------
-9.8
-14.3 + 14.3 -14.3 - 14.3
t = ------------------- and t = -------------------
-9.8 -9.8
0 -28.6
t = ------- and t = ---------
-9.8 -9.8
t = 0 and t = 2.918367
Because this problem is about velocity, t is most likely
a measure of seconds. We can disregart the t = 0 answer.
Therefore, the answer we want is t = 2.918367