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A golf ball is hit from horizontal ground with speed 10 m/s at an angle of p degrees above the horizontal. The greatest height the golf ball reached above ground level is 1.22m. Model the golf ball as a particle and ignore air resistance. Find p.

Initial horizontal speed of particle = 10cos(p) m/s. Initial vertical speed of particle = 10sin(p) m/s. ('U' in suvat.) There are no forces other than gravity acting on the particle so the vertical accelerat...
SR
5265 Views

Can you show me how to solve first order differential equations using the integrating factor method?

To use the integrating factor method your first order DE must be of the form dy/dx + f(x)y =g(x), where f(x) and g(x) are any functions that depend only on x. lets say f(x)=3x^2 and g(x)=2, (If I feel the tu...
RA
3779 Views

When using the method of partial fractions how do you choose what type of numerator to use and how do you know how many partial fractions there are?

There are as many fractions as there are factors of the denomenator. If the denomenator of one of the partial fractions is linear then the numerator is a constant. If the denomenator is a linear term squared...
CM
3439 Views

When and how do I use proof by induction?

If you have a claim which says something about every element in a list of elements with each element depending on previous elements, induction might be a useful starting point. In your exams, that "list...
SR
3508 Views

Using the substitution u = ln(x), find the general solution of the differential equation y = x^2*(d^2(y)/dx^2) + x(dy/dx) + y = 0

dy/dx = (dy/du) (1/x), d^2(y)/dx^2 = (d^2(y)/du^2) (1/(x^2)) - (dy/du)*(1/(x^2)) (x^2) ( (d^2(y)/du^2) (1/(x^2)) - (dy/du) (1/(x^2)) ) + x (dy/du)*(1/x) + y = 0 d^2(y)/du^2 - dy/du + dy/du + y = 0 d^2(y)/du^...
IK
5211 Views