If the displacement in the x-direction is dx = 4t, what would you plug in for t in dy = v0,y t + 1/2ay t2?dx / 2dx / 4 -dx / 44 / dx

The following ordinary differential equation describes the velocity of an object; velocity = x'(t)Write the expression for the displacement, x (in terms of t), if x = 1 when t = 0.Hints:Write an expression, not an equationTo type a2y𝑎2𝑦, use a^(2*y) in the answer box. Use ( ) while typing functions in the answer, for example cos(5x)𝑐𝑜𝑠(5𝑥).Check that the box is showing the answer and has identified the variables correctly

A particle is moving in the xy-plane has velocity components  dxdt=2t𝑑𝑥𝑑𝑡=2𝑡 and  dydt=4.𝑑𝑦𝑑𝑡=4. If the particle starts from the origin at t = 0, magnitude of its displacement at t = 2 s isOnly one correct answerA.

Suppose y = 2x + 1, where x and y are functions of t.(a) If dx/dt = 6, find dy/dt when x = 4.dydt = (b) If dy/dt = 4, find dx/dt when x = 24.dxdt =

V = π∫ 10(y − y4) dy = 3π/10

The powerboat, starting from rest, maintains a constant acceleration. After a certain time t, its displacement and velocity are r and v. At time 2t, what would be its displacement and velocity, assuming the acceleration remains the same?Question 2Answeri.4r and 4vii.2r and 4viii.4r and 2viv.2r and 2v