Question: A particle moves in the x-y plane with an x-component of velocity inmeter per second given by v, = 4√t, with t in seconds. The acceleration of theparticle in the y-direction in meter per second squared is given by by a, = 4 e(t),with t in seconds. When t-4, y=10, x-4, and v₂ = 10 , (a) Find the equation of thepath of the particle and (b) calculate the magnitude of the velocity v of the particlefor the instant when its y-coordinate reaches 20 m, and the angle which the velocitymakes with the x-axis.

Given information: The velocity of the particle along the x-axis Vx = 4t The acceleration of the…

Question: A particle moves in the x-y plane with an x-component of velocity in meter per second given by v, = 4√t, with t in seconds. The acceleration of the particle in the y-direction in meter per second squared is given by by a, = 4 e(t), with t in seconds. When t-4, y=10, x-4, and v, 10. (a) Find the equation of the path of the particle and (b) calculate the magnitude of the velocity v of the particle for the instant when its y-coordinate reaches 20 m, and the angle which the velocity makes with the x-axis.

Question: A particle moves in the x-y plane with an x-component of velocity in meter per second given by v, = 4√t, with t in seconds. The acceleration of the particle in the y-direction in meter per second squared is given by by a, = 4 e(t), with t in seconds. When t-4, y=10, x-4, and v, 10. (a) Find the equation of the path of the particle and (b) calculate the magnitude of the velocity v of the particle for the instant when its y-coordinate reaches 20 m, and the angle which the velocity makes with the x-axis.