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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
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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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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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Why is benzene more stable than expected?

Benzene is stable due to its delocalised ring of electrons - which forms as a result of the carbon-carbon bonds being neither single nor double bonds, instead an intermediate length with electrons in the p-o...
Answered by Chemistry tutor
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When should you use the 'imperfetto' and when should you use the 'passato prossimo'?

The imperfetto (eg. facevo, era) is used for a continuous or repeated action or a description in the past. For example, if something happened everyday you would use the imperfetto, (eg. 'Ogni giorno mangiavo...
Answered by Italian tutor
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