Question

Patrick the Ninja jumps atop a box that slides down the slope described by the equation y=(0.5 x4) m (meters) in order to reach Joe "Trade Tech" Beaver. If the box and ninja together have x components of velocity and acceleration of v, - 1.5 m/s and a, -2.0 m/s2 when he reaches the beaver at x-3 m, find the y components of the velocity and acceleration of the box at this instant that the Art impacts poor Joe Beaver. Put the final 1. velocity and acceleration in vector form! y=0. 5 x -X x-3 m 1.J1

Please provide correct unit notation
please make the writing visible
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Answer 1

y=0.5x4 differentiate once with trespect to time: dy 0.5x4x3xdr dt v0.5x4x3xv ,,=2x3xvx V 2x33x-1.5 V'81 m/s differentiate again with trespect to time: d dy 2х3хdr dt dt dt dt use u-v rule of differentiation a.y2x3x2xax dx 213xd2x dt dt dt2 +2.х3 ха, а, 3D бх2x(1, 3 +23x-2 а, %3D 6x32x-1.5 ay13.5 m/s2 The velocity and acceleration in vector form: v-1.5i-81j m/s a-2i +13.5 m/s2