Study questions platform-wide or filter by specific tests with correct answers revealed.
Fill in the blank: He has been working ______ this project for two weeks.
The correct preposition is 'on' when referring to working on a task or project. 'Working on a project' is the standard phrase.
Views of a cylinder:
- Top view: Circle β (looking down the axis)
- Front view: Rectangle β (width = diameter, height = cylinder height)
- Side view: Rectangle β (same as front view if circular cross-section)
A cone: top view = circle, front = triangle. A sphere: all views = circle. A hemisphere: top = circle, front = semicircle. Only a cylinder matches all three conditions.
A particle is thrown vertically upward. Its speed at half the maximum height is $10\text{ m/s}$. The maximum height attained is ($g = 10\text{ m/s}^2$):
Let maximum height $= H$. At height $H/2$, velocity $= 10\text{ m/s}$.
Using $v^2 = u^2 - 2g\cdot\dfrac{H}{2}$: $100 = u^2 - gH$
At max height: $0 = u^2 - 2gH \Rightarrow u^2 = 2gH$
Substituting: $100 = 2gH - gH = gH \Rightarrow H = \dfrac{100}{10} = \mathbf{10\text{ m}}$
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