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There is considerable debate about what constitutes the world's “first” newspaper. The World Association of Newspapers recognises Relation (France, 1605) as the first newspaper. However, the first titled English-language private newspaper was The Corrant, published in London in 1621. The first American newspaper was Publick Occurrences, published in Boston in 1690, though it was suppressed after a single issue by colonial authorities. The first English daily newspaper was the Daily Courant, founded by Samuel Buckley on 11 March 1702. The question asks for “first regular English-language newspaper” โ this refers to The Corrant, London, 1621. Students must carefully distinguish between the first French newspaper (La Gazette, 1631), the first American newspaper (Publick Occurrences, Boston, 1690), and the first English daily (Daily Courant, 1702).
The displacement of a particle is given by $s = 3t^3 + 7t^2 + 5t + 8$ metres, where $t$ is in seconds. The acceleration at $t = 1\text{ s}$ is:
Velocity: $v = \dfrac{ds}{dt} = 9t^2 + 14t + 5$
Acceleration: $a = \dfrac{dv}{dt} = 18t + 14$
At $t = 1\text{ s}$: $a = 18(1) + 14 = \mathbf{32\text{ m/s}^2}$
A ball with kinetic energy $E$ is projected at $45ยฐ$ to the horizontal. Its kinetic energy at the highest point of its flight is:
At the highest point, only horizontal velocity remains: $v_x = u\cos45ยฐ = \dfrac{u}{\sqrt{2}}$
$KE_{\text{top}} = \dfrac{1}{2}mv_x^2 = \dfrac{1}{2}m\cdot\dfrac{u^2}{2} = \dfrac{1}{2}\cdot\dfrac{1}{2}mu^2 = \mathbf{\dfrac{E}{2}}$
Direction of induced current is given by:
Lenz's law: induced current opposes the change in flux.
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