Formative Exercise 8.2 Question 3
[b][size=100][b]A particle moves along a straight line so that its displacement,s metre from a fixed point O at t seconds given is by s=t[sup]3[/sup]-5t[sup]2[/sup]-8t+12,[/b][b]where t[/b][/size][/b][b]≥0.[/b][br]
[b]a) Express the velocity function, v and acceleration function, a of the particle in terms of t.[/b]
[size=100][b]b) Determine the instantneous velocity, in ms[sup]-1[/sup] and instantneous acceleration, in ms[sup]-2[/sup]of the particle when t=3.[/b][/size]
[size=100][b]c) Find the value of t,in seconds,when the particle is instantneously at rest.[/b][br][/size]
[size=100][b]d) Find the value of t, in seconds, when the particle is at O.[/b][/size]
[size=100][b]e) Find the total distance travelled by the particle in the first 6 seconds.[/b][br][/size]