If x = at2 and y = 2at, find y2 at t = 2 - Maths - Continuity and Differentiability

Question

If x = at2 and y = 2at, find y2 at t =
2

Manbar Singh · Accepted Answer

We have,      x = at2⇒dxdt = 2 at     y = 2at⇒dydt = 2anow,      dydx = dydt×dtdx = 2a2at = 1t⇒d2ydx2 = -1t2×dtdx = -1t2×12at = -12at3⇒d2ydx2t=2 = -12a23 = - 116a

If x = at2 and y = 2at, find y2 at t = 2.

If x = at² and y = 2at, find y₂ at t = 2.