The equation of motion of a particle travelling along the \(x\)-axis is given as

where \(b=0.4 \mathrm{~m} / \mathrm{s}^{3}, c=0.5 \mathrm{~m} / \mathrm{s}^{2}\) and \(d=50 \mathrm{~m} / \mathrm{s}\).

(a) Calculate the particle's acceleration \(t=20 \mathrm{~s}\).

(b) What is the distance travelled at \(t=5 \mathrm{~s}\) ? \(~\)

Transcribed Image Text:

x(t) = 3bt+4ct + dt