A stone is thrown vertically upward and distance, S metre...
A stone is thrown vertically upward and distance, S metres after t seconds is given by S = 12t + \(\frac{5}{2t^2}\) - t\(^3\).
Calculate the distance travelled in the third second.
5.5m
14.5m
26.0m
30.0m
Correct answer is A
From S = 12t + \(\frac{5}{2t^2}\) - t\(^3\);
Distance traveled in 2 seconds
S = 12[2] + \(\frac{5}{2[2]^2}\) - 2\(^3\).
= 24 + 10 - 8 = 26m
Distance traveled in 3 seconds
S = 12[3] + \(\frac{5}{2[3]^2}\) - 3\(^3\)
= 36 + 22.5 - 27 = 31.5m
Distance traveled in the 3rd second
= 31.5m - 26m
: S = 5.5m
If \(2\log_{4} 2 = x + 1\), find the value of x....
Given that \(p = 4i + 3j\), find the unit vector in the direction of p....
If P = \(\begin {pmatrix} 2 & 3\\ -4 & 1 \end {pmatrix}\), Q = \(\begin{pmat...
Find the area between line y = x + 1 and the x-axis from x = -2 to x = 0. ...
Evaluate \(\int_{-1}^{1} (x + 1)^{2}\mathrm {d} x\). ...
Marks 2 3 4 5 6 7 8 No of students 5 7 9 6 3 6 4 The table above sho...
Evaluate: \(^{lim}_{x \to 1} \begin{pmatrix} \frac{1 - x}{x^2 - 3x + 2} \end {pmatrix}\)...
Given that \(f(x) = 3x^{2} - 12x + 12\) and \(f(x) = 3\), find the values of x....