the motion of a particle along a straight line is described by the function s = 6 + 4t^2 - t^4 in SI units find the velocity and acceleration at t= 2 seconds find average velocity during 3rd second.
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d(s)/dt=V
s=6+4t^2-t^4
d(6+4t^2-t^5)/dt
d(6)/dt +d(4t^2)/dt +d(t^4)/dt
0+8t-4t^3=V
dv/dt =a
d(8t-4t^3)/dt
d(8t)/dt - d(4t^3)/dt
8-12t^2=a
t
=2
8-12(3)^2
-100
V=8(3)-4(3)^3
=-84
s=6+4t^2-t^4
d(6+4t^2-t^5)/dt
d(6)/dt +d(4t^2)/dt +d(t^4)/dt
0+8t-4t^3=V
dv/dt =a
d(8t-4t^3)/dt
d(8t)/dt - d(4t^3)/dt
8-12t^2=a
t
=2
8-12(3)^2
-100
V=8(3)-4(3)^3
=-84
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