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Paul Simon said that there are 50 ways to leave your lover. ■
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50 w to l y l?
50 ways to leave your lover.
Prove that the two dimensional motion of a particle in the xy-plane having initial angle θ with the x-axis will be parabolic?
The browser used by this site does not consistently support Greek characters so I will change the angle to w degrees. The direction of the y-axis is taken to be the positive direction so that the upward acceleration due to gravity is -g m/s^2.Suppose the particle is projected with an initial velocity of u m/s at an angle of t degrees.Then the vertical component of v is v(y) = v*sin(w) and the horizontal component is v*cos(w).Suppose the position of the particle after t seconds is [x(t), y(t)].Then, since there is no force acting in the horizontal direction, x(t) = v*cos(w)*tor, more simply, x = v*t*cos(w)this gives t = x/(v*cos(w)In the vertical direction the only force is gravity so y(t) = v*sin(t) - 1/2*g*t^2or, more simply, y = v*t*sin(w) - 1/2*g*t^2substituting for t,y = v*[x/(v*cos(w)]*sin(w) - 1/2*g*(x/(v*cos(w))^2or y = x*tan(w) - 1*g/[(2*v^2*cos(w)^2]*x^2the above equation would look much tidier if only we could write powers as superscript but this crap browser will not allow that.The equation is, therefore, of the form y = ax^2 + bx for some constants a and b. That is, it is a parabola.
How many capital letters in the alphabet can be written using only straight lines?
all
What are symmets letters?
A,h,i,m,o,t,u,v,w,x,y
Which capital letters of the alphabet have only one line of symmetry?
A, B, C, D, E, M, T, U, V, W, Y, and Z.
