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Having some problems with the following: The amplitude of a particle moving with SHM is 5 metres and the acceleration when 2 metres from the mean position is 4 m/s/s. Find the speed of the particle at the mean position and when it is 4 metres from the mean position.

The following are two questions which I couldn't obtain the solution provided. It may be a mistake I haven't picked up in my working or an error after all. Any worked answers or solutions only are much appreciated. Thanks in advance. --- Q1 The volume of a spherical ball, of radius 24mm...

Stuck here. --- Consider the region bounded by y=[sin inverse x], the y-axis and the tangent to the curve at the point (sqrt(3)/2, pi/3) Show that the area of the region is 1/4 units squared. Show that the volume of the solid formed when the region is rotated about the y-axis is...

What are the forces acting on a satellite orbiting Earth? Would it be sufficient just to state the following for an answer in the HSC? http://www.hsc.csu.edu.au/physics/core/space/9_2_2/922net.html#net14 Thanks in advance.

Having trouble with another problem from the Jacaranda textbook. Chapter 2 Q14 follows on from Q13, but I've included the necessary information. In my attempt at the problem, I've calculated the range from firing the shell to where the shell will end up 50m above the water. I just don't know...

I'm having some difficulties interpreting the question. In my attempts at the question I have drawn out several diagrams and resolved the vertical and horizontal components for each . But I can't seem to acquire the same answers provided by the solution no matter which diagram. Any help on...

Another one I've been having problems with; Prove that the inequality x^2 - 2px + q > 0 if and only if q > p. Thanks in advance, once again.

Quick question: For which positive real numbers a is it true that a^x ≥ 1+x for all real x? Thanks in advance.

Need a little help with solving these limits. Thanks in advance.

Three questions that I've been having problems with: One method of extracting nickel from concentrated ores is to mix finely divided ore with carbon monoxide. Nickel reacts to form gaseous nickel carbonyl. When excess nickel was reacted with 500mL CO, 125mL nickel carbonyl was formed at the...