Question #145949
A particle moves along the x axis according to the equation x ! 2.00 % 3.00t # 1.00t2, where x is in meters and t is in seconds. At t ! 3.00 s, find (a) the position of the particle, (b) its velocity, and (c) its acceleration.
1
Expert's answer
2020-11-23T10:32:28-0500
x=2+3tt2x=2+3t-t^2

a)


x(3)=2+3(3)32=2 mx(3)=2+3(3)-3^2=2\ m

b)


v(3)=32(3)=3msv(3)=3-2(3)=-3\frac{m}{s}

c)


a(3)=2ms2a(3)=-2\frac{m}{s^2}


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