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A stone is thrown horizontally at 5m/s from a platform 10m above ground. Find time till impact with ground.

Use SUVAT for constant vertical acceleration. Solve for t. S = -10U = 0V = -A = -gT = tS=UT+(AT^2)/2t = sqrt(20/g)
MH
Answered by Mathew H. • Physics tutor
2156 Views

Convert 0.22222222... (recurring) into a fraction

x=0.22222222...10x= 2.222222...10x-x=9x=2x=2/9=0.2222222... x=2/9
RG
Answered by Rachel G. • Maths tutor
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Integrate tan(x) wrt x

Use substitutionlet u = cos(x)du = - sin(x)dxint(tan(x)) dx = int(sinx/cosx) dx = - int(1/u) du = - ln(u) + c= ln(secx) + c
MH
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Solve the equation log2(x + 3) + log2(x - 3) = 4

log2(x + 3) + log2(x - 3) = 4log2 [(x + 3)(x - 3)] = 4x^2 - 9 = 16x^2 = 25x = 5
Answered by • Maths tutor
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Find a vector that is normal to lines L1 and L2 and passes through their common point of intersection where L1 is the line r = (3,1,1) + u(1,-2,-1) and L2 is the line r = (0,-2,3) + v(-5,1,4) where u and v are scalar values.

We will use the cross product of these two vectors to help us find the perpendicular vector. The cross product works by finding a vector which has no effect on the position of a point with respect the the di...
AR
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