Question

a particle travels along the x axis with its position as a function of time of x(t) = 7t^4 + 24t^3 +3t where all quantities are SI units. calculate the velocity and acceleration as a function of time.

Answer 1

velocity=dx/dt
\[\frac{ dx }{dt }=28t ^{3}+72t ^{2}+3\]
and\[ acceleration=\frac{ d ^{2}x }{dt ^{2} }\]
\[\frac{ d ^{2}x }{dt ^{2} }=84 t ^{2}+144 t\]

Answer 2

thank you very much!

Answer 3

yw