So, I have to solve for 't' in this equation:
x=x0+v0t+1/2at2
And, I can't deal with it. Somebody help?
+33614 It's a quadratic in t.
Rewrite it as 1/2at2 +v0t+x0-x=0
Multiply by 2/a: t2 +(2v0/a)t +2(x0-x)/a = 0
Use the quadratic formula:
t = { -(2v0/a) + sqrt[ (2v0/a)2 - 4*2(x0-x)/a) ] }/2 → { -v0 + sqrt[ v02 - 2a(x0-x) ] }/a
(Because t is almost certainly time here, we don't need to look at the other solution)
+33614 It's a quadratic in t.
Rewrite it as 1/2at2 +v0t+x0-x=0
Multiply by 2/a: t2 +(2v0/a)t +2(x0-x)/a = 0
Use the quadratic formula:
t = { -(2v0/a) + sqrt[ (2v0/a)2 - 4*2(x0-x)/a) ] }/2 → { -v0 + sqrt[ v02 - 2a(x0-x) ] }/a
(Because t is almost certainly time here, we don't need to look at the other solution)
