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A girl kicks a ball at a horizontal speed of 15ms^1 off of a ledge 20m above the ground. What is the horizontal displacement of the ball when it hits the ground?

As we are looking for the horizontal displacement first we look at horizontal motion. We know that the horizontal velocity is 15ms^-1 but we dont know the time so we can't work out the horizontal displacemen...
VW
Answered by Victoria W. • Maths tutor
4475 Views

Differentiate tan^2(x) with respect to x

d/dx(tan^2(x)) is not a known differential, and therefore requires a substitution to calculate it using simpler known differentials. Using the identity sin^2(x) + cos^2(x) = 1, the equation can be divided th...
HA
Answered by Harry A. • Maths tutor
22927 Views

By first proving that sin2θ=2sinθcosθ, calculate ∫1+sinθcosθ dθ.

We have, from the formula book, sin⁡(A±B)=sinAcosB±cosAsinB Using A=B=θ , we have sinθ+θ=sinθcosθ+cosθsinθ Which we can simplify to sin2θ=2sinθcosθ as required. We can then substitute this into the integral:...
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Answered by Abigail H. • Maths tutor
7684 Views

What is the difference between the function of a receptor and the function of an effector.

Receptors detect and sense changes in their surroundings, called stimuli, e.g. a light receptor. Effectors produce the response to the stimulus, e.g. a muscle.
CS
Answered by Claudia S. • Biology tutor
5462 Views

How do I answer a question asking me to describe and/or explain a graph?

These questions should be easy mark gainers as they don't usually require a lot of prior knowledge. However, many students find that they consistently lose all their marks on these questions. With many exam ...
KB
Answered by Kate B. • Biology tutor
21304 Views