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A ball is hit horizontally at a height of 1.2 m and travels a horizontal distance of 5.0 m before reaching the ground. The ball is at rest when hit. Calculate the initial horizontal velocity given to the ball when it was hit.

Vertically: u=0 ms -1 s=1.2 m a=9.8 ms -2 s=ut + 0.5at 2 Therefore t = 0.49s Horizontally: t=0.49s s=5.0m speed = distance/time = 5.0/0.49 = 10.2 ms -1
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Answered by William W. • Physics tutor
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Given that y = 4x^3 – 5/(x^2) , x =/= 0, find in its simplest form dy/dx.

We are given: y = 4x^3 – 5/(x^2) To find the dy/dx we are going to use the power rule, from the power rule differentiating x^n gives n*x^n-1, so from our equation differetiating x^3 will give 3x^2, but we ne...
MA
Answered by Mohamed A. • Maths tutor
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Explain why a firm in Perfect Competition earns supernormal profits in the short-run

A perfectly competitive market is a market where a large number of firms produce identical products (perfect substitutes). The characteristics that define perfect competition are the following: - no barriers...
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Answered by Nora V. • Economics tutor
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How can geographers help to tackle climate change?

Geographers bring a range of perspectives and analytical lenses to the table when it comes to climate change; perhaps the grandest problem facing the world today. As the discipline of geography is broadly co...
JT
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Explain how fiscal stimulus might be used to bring about supply-side improvements in the UK economy.

Begin by defining fiscal policy and a supply-side improvement (the latter should be supplemented with a diagram). Following the definition of a supply-side policy, we might begin with examples of fiscal poli...
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Answered by James S. • Economics tutor
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