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A particle P moves with acceleration (-3i + 12j) m/s^2. Initially the velocity of P is 4i m/s. (a) Find the velocity of P at time t seconds. (b) Find the speed of P when t = 0.5

Solution: V = V (0) + a *t From the question: a = (-3 i + 12 j ); V (0) = 4 i V at time t seconds: V = 4 i + (-3 i +12 j )*t V = 4 i + (-3t i + 12t j ) V = 4 i – 3t i + 12 t j m/s *Bold letters are vectors A...
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Answered by Artur R. • Maths tutor
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Why do the atomic radii of the elements decrease across Period 3 from sodium to chlorine?

The atomic radius of an atom is the distance from the atom's nucleus to its outermost electron. Moving across Period 3, the number of protons in the nucleus increases - for example sodium has 11 protons, and...
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Answered by Amy T. • Chemistry tutor
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Using the quadratics formula find the two solutions to x^2 + 3x + 2 = 0.

x 1 = (-b + (b 2 - 4ac) 1/2 )/2a and x 2 = (-b - (b 2 - 4ac) 1/2 )/2a. So with the values a = 1, b = 3 and c = 2: x 1 = (-3 + (3 2 - 8) 1/2 )/2 and x 2 = (-3 - (3 2 - 8) 1/2 )/2, x 1 = (-3 + 1)/2 = -1 and x ...
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Answered by Rebecca D. • Maths tutor
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Starting with x^2+2x+1=0 use the method of factorising to solve for x.

x 2 +2x+1=0, (x+1)(x+1)=0, (x+1) 2 =0. So x=-1
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Answered by Rebecca D. • Maths tutor
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When should I conjugate the past participle when using the "avoir" auxilary.

When using the auxilary "avoir" the past participle's ending agrees both is gender and number with the direct object only when it is placed before the verbs' subject. Here's an example: Le chat a m...
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Answered by Alice D. • French tutor
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