Abox slides down a slope described by the equation y=(0.05 x2)m, where x is in meters. if the box has x components of velocity and acceleration vx= -4m/s and ax= -1.2m/s@ at x = 3m, determine the corresponding y components of velocity and acceleration at this instant

Explanation:

We are given that

Where x (in m)

x component of velocity,

x- component of acceleration,

x=3 m

We have to find the y-component of velocity and acceleration at this instant.

Differentiate w.r.t. time

By using the formula

Substitute the values

Again differentiate w.r.t. t

Substitute the values

Where

Hence, the y- component of velocity and acceleration

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