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\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n\n

(a)	\n $u = \\var{u}; v = \\var{v}; s = \\var{s}; t = \\,?$ \n

	\n Using $s = \\frac{1}{2}(u+v)t\\,\\,$ and rearranging for $t$ gives \n

	\n $t = \\frac{2 \\times s}{u+v} = \\frac{2 \\times \\var{s}}{\\var{u}+\\var{v}} = \\var{precround(t,3)}\\,$ seconds \n

(b)	\n Find the acceleration of the car using $v = u + at$ \n

	$a = \\frac{v-u}{t} = \\frac{\\var{v}-\\var{u}}{\\var{precround(t,3)}} = \\var{precround(a,3)}\\,ms^{-2}$



	\n Then for the car travelling from A to M, we have \n
	\n $u = \\var{u}; v = \\,?; a = \\var{precround(a,3)}; s = \\var{precround(s1,2)}$ \n

	\n Using $v^{2} = u^{2}+2as$ gives \n

	\n $v^{2} = (\\var{u})^{2}+(2 \\times \\var{precround(a,3)} \\times \\var{s})$ \n

	\n $v = \\var{precround(v1,3)}\\,ms^{-1}$ \n

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The time taken by the car to move from A to B = [[0]] seconds

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The speed with which the car passes M = [[0]] $ms^{-1}$

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A car is moving along a straight road with uniform acceleration

The car passes a point A with a speed of $\\var{u}\\,ms^{-1}$ and another point B with a speed of $\\var{v}\\,ms^{-1}$

The distance from A to B is $\\var{s}\\,m$

(a) Find the time taken by the car to move from A to B

M is the mid-point of AB

(b) Find the speed with which the car passes M

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