Ask Uncle Colin: A load of parabolics | Colin

Ask Uncle Colin is a chance to ask your burning, possibly embarrassing, maths questions — and to show off your skills at coming up with clever acronyms. Send your questions to colin@flyingcoloursmaths.co.uk and Uncle Colin will do what he can.

Dear Uncle Colin,

One of my students recently attempted the following question: “At time $t=0$ particle is projected upwards with a speed of 10.5m/s from a point 10m above the ground. It hits the ground with a speed of 17.5m/s at time $T$. Find $T$.” They used the equation $s = vt – \frac 12 at^2$ and found $T = \frac{5}{7}$ and $T=\frac{20}{7}$…

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