G A particle starts moving from the origin of the coordinate system with the initial velocity v(0)=<0,0,2> and acceleration at time t given by a(t)=<1,2,0> find the moment of time t=T when the particle hits the plane 2x+y-z=4

2s

Explanation:

The position function of the motion can be expressed as:

where is the origin where the particle starts off, and a = <1,2,0> m/s2. In the 3-coordinate system it can be written as

For the particle to hit the 2x+y-z=4 plane then its coordinates must meet that criteria

t = 2 or t = -1

Since t can only be positive we will pick t = 2s

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