The position of a lion chasing its prey, in metres, is given by s(t) = t^3 -15^2 +63t, where t is the time in seconds. The lion's velocity, in factored form, is v(t)=3(t-3)(t-7). Determine the total distance travelled by the lion in the first 10 seconds.

answer: the lion did not move from 0 to 10 seconds.

I don't get why the answer is 0m?

Question

The position of a lion chasing its prey, in metres, is given by s(t) = t^3 -15^2 +63t, where t is the time in seconds. The lion's velocity, in factored form, is v(t)=3(t-3)(t-7). Determine the total distance travelled by the lion in the first 10 seconds.

answer: the lion did not move from 0 to 10 seconds.

I don't get why the answer is 0m?

bahrom7893 · Answer

Try taking the integral of
V(t)=3(t-3)(t-7) from 0 to ten..e

bahrom7893 · Answer

sorry the e is not supposed to be at the end..