1.8.2 Integrating x^n

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Question 56

The velocity $v (t)$ of a microscopic probe moving through a fluid is modeled by the function

\frac{10t^2 - 3}{4\sqrt{t}}, \quad t > 0

where $v$ is measured in $s−1\mu\text{m s}^{-1}$ and $t$ is the time in seconds. At time $t = 1$ , the displacement of the probe from a fixed origin is $\mu\text{m}$ . Find the displacement of the probe when $t = 9$ .

[5]

1.8.2 Integrating x^n

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Question 56

The velocity $v (t)$ of a microscopic probe moving through a fluid is modeled by the function

\frac{10t^2 - 3}{4\sqrt{t}}, \quad t > 0

where $v$ is measured in $s−1\mu\text{m s}^{-1}$ and $t$ is the time in seconds. At time $t = 1$ , the displacement of the probe from a fixed origin is $\mu\text{m}$ . Find the displacement of the probe when $t = 9$ .

[5]

1.8.2 Integrating x^n

Question 56

1.8.2 Integrating x^n Questions

1.8.2 Integrating x^n

Question 56

1.8.2 Integrating x^n Questions