A particle \(P\) moves in a straight line with a velocity function of \(s\left( t \right) = {t^3} – 6{t^2} + 1\) metres, where \(t \ge 0\), \(t\) in seconds. Find the total distance travelled in the time from \(t = 1\) and \(t = 6\).

metres

Correct

Incorrect

Question 5 of 10

5. Question

The mass of radioactive \(t \) hours after establishment is \({R_t} = 200 \times {1.4^{ – t}}\) grams. Find the time for the mass to reach 150 grams. Answer correct to the nearest minute.