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SHM. Find the maximum speed of a particle moving in SHM, if its displacement is given by x = 5cos3t + 2sin3t answer: 16.2m/s Is there any particular method that i'm meant to use in SHM for this question?

Hey guys. So i'm kinda.. completely lost for Simple Harmonic Motion. I completely dozed off during the week that it was being taught and now that school is already over i can't ask my teacher for help. I've read some textbooks and they sort of gave me an idea, but i still don't have a firm...

Hey Guys, i wasn't certain as to where i should've posted this thread, but anyway.... I found out today that i've been nominated for the SRC. However those who wish to apply to be school captain have to deliver a 2 minute speech stating why they would make the best captain. They also have to be...

Hey guys. For english i've been asked to write a short story (1000-1200 words) which has the dominant theme of 'change' in it. I know that is is an extremely broad topic for a story, but i just can't seem to think of any ideas that aren't cliche.... Any ideas for a change story? Ideas much...

1. A batsman hits a cricket ball towards a fieldman who is 65m away. The ball reaches a maximum height of 4.9m and the horizontal component of its velocity is 28m/s. Find the constant speed at which the fieldsman must run forward, starting at the instant the ball is hit, in order to catch the...

A stone is thrown so that it will hit a bird at the top of a pole. However, at the instant the stone is thrown, the bird flies away in a horizontal straight line at a speed of 10ms^-1. The stone reaches a height double that of the pole and, in its descent, touches the bird. Find the horizontal...

A stone is projected horizontally from the top of a building 30m high with a velocity of 15m/s. At the same instant another stone is projected from the foot of the building with a velocity of 30m/s at an angle of 60* to the horizontal. The two stones move in the same vertical plane. Prove that...

A particle is projected with a speed of 25m/s in the direction of a point P distant 24m horizontally and 7m vertically above the point of projection. a) Find the coordinates of the point on the trajectory directly below P. b) At the instant of projection of the particle, a second particle is...

I saw in the Couchman textbook that the physics formulae: v = u + at s= ut + 1/2at^2 v^2 = u^2 + 2as are used in solving some projectile motion questions. Is using physics formulae (specifically in the HSC) a legitimate method of doing these projectile motion questions, or should we stick to...

An object is projected with horizontal velocity 8ms^-1 and vertical velocity 5ms^-1. Find the range of its flight. (use g = 10ms^-2)

A horizontal drainpipe 6m above sea level empties stormwater into the sea. If the water comes out horizontally and reaches the sea 2m out from the pipe, find the initial velocity of the water, correct to 1 decimal place. let g = 10ms^-2 and neglect air resistance. Answer = 1.8ms^-1

Use x = 0.5 to find an approximation to the root of cosx = x, correct to two decimal places, using 2 applications of Newton's method. Answer: x = 0.76

The root of the equation e^x - x^3 = 0 lies between x= -1 and x= 0. Use newton's method once to find an approximation to the root, correct to 2 decimal places. Answer: x = -0.72

sketch y = (2x + 3)/(x^2-4), showing any stationary points, points of inflexion or asymptotes. Could someone also help me find the inflexion point. The 2nd derivative of the graph is very messy. Help! :(

two roots of x^3 + mx^2 + 15x - 7 = 0 are equal and rational. Find m. :(? answer: m = -9

Help! I've been struggling with this question for a long time and still can't do it. "David walks along a straight road. At one point he notices a tower on a bearing of 053* with an angle of elevation of 21*. After walking 230m, the tower is on a bearing of 342*, with an angle of elevation of...

A sample of 3 coins is taken at random from a bag containing 8 ten cent coins and 8 twenty cent coins. Find the probability that a particular ten cent coin will be chosen, if 2 ten cent and 1 twenty cent coins are chosen.

This question is really weird to me, i can't get the answer. The question is: "twelve differently coloured beads are arranged around a necklace. How many different arrangements are possible?" Answer:19,958,400

"Nine beads are arranged on a bracelet. How many different ways are possible?" Sorry if this sounds really dumb, but i couldn't get the answer which is 20,160. Help much appreciated :)!

The formula for the acceleration of a particle is given by A = 5x - e^2x +3, where x is the displacement of the particle. If the acceleration of the particle is at a constant rate of -9.8ms^-2, find the rate of change of its displacement when the displacement is -0.3m. thanks :) answer: -2.5ms^-1