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A ball is projected at an angle b from the horizontal. With initial velocity V the ball leaves the ground at point O and hits the ground at point A. If Vcos(b) = 6u and Vsin(b) = 2.5u, how long does the ball take to travel between O and A.

This is a classic 2-D projectile question.

The best way to solve this problem is to split the velocity into its x and y components.

In the x-direction a projectile has no forces acting on it...

TC
Answered by Tristan C. Maths tutor
8092 Views

Find the volume of revolution when the area B is rotated 2 pi radians about the x axis

First must recall the formula, of pi multiplied by the integral of y2

After this, the correct integration should be applied, using an appropriate method that the student has learnt

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LS
Answered by Louis S. Maths tutor
8798 Views

Differentiate the following: 3/2 x^(3/4) + 1/3 x^(-1/4)

In simple differentiation, we can use the fact that if y= x^n, dy/dx is equal to nx^(n-1). In other words, multiply the x term by the power, then decrease the power by 1. Here we have 2 terms so approach ...

AW
Answered by Alex W. Maths tutor
3418 Views

Find the Lowest common multiple of 96 and 132

First, split into prime factors- 96= 2^5 * 3 and 132= 2^2 * 3 * 11 Whilst very similar to highest common factor, lowest common multiple is found by comparing the two sets of prime factors, and for each pr...

AW
Answered by Alex W. Maths tutor
3624 Views

There are n sweets in a bag, 6 of which are orange. If the probablility of eating 2 orange sweets from the bag, one after the other, is 1/3, show that n^2 - n - 90 = 0. State any assumptions made.

We are assuming that the sweets are selected at random. The question says that the sweets are eaten, so we are also assuming that they aren't put back into the bag. The total probability of selecting the ...

JB
Answered by James B. Maths tutor
3851 Views

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