\(10m\)
\(9m\)
\(\frac{13}{3} m\)
\(\frac{9}{2} m\)
Correct answer is D
Given, \(a(t) = (3t - 2) ms^{-2}\), the first integration of a(t), with respect to t, gives v(t) (the velocity). The second integration of a(t) or first integration of v(t) gives s(t).
\(v(t) = \int (3t - 2) \mathrm {d} t = \frac{3}{2}t^{2} - 2t\)
\(s(t) = \int (\frac{3}{2}t^{2} - 2t) \mathrm {d} t\)
= \(\frac{t^{3}}{2} - t^{2}\)
When t = 3s,
\(s(3) = \frac{3^{3}}{2} - 3^{2} = \frac{27}{2} - 9 \)
= \(\frac{9}{2}\)
Find the remainder when \(5x^{3} + 2x^{2} - 7x - 5\) is divided by (x - 2)....
Differentiate \(\frac{x}{x + 1}\) with respect to x...
Find the radius of the circle \(x^{2} + y^{2} - 8x - 2y + 1 = 0\)....
Find the constant term in the binomial expansion of \((2x - \frac{3}{x})^{8}\)....
If α and β are the roots of 3x\(^2\) - 7x + 6 = 0, find \(\frac{1}{α}\) +...