The motorcycle starts from standstill, runs for a distance with the acceleration of A1 = 1m / S2, then makes a constant speed movement, and then makes a constant deceleration movement with the acceleration of A2 = - 4 / S2 until it stops. The motorcycle has walked 1440m in total and lasted for 100s. The maximum speed of the motorcycle in this process is calculated | Math enthusiast | Mathematical art

The motorcycle starts from standstill, runs for a distance with the acceleration of A1 = 1m / S2, then makes a constant speed movement, and then makes a constant deceleration movement with the acceleration of A2 = - 4 / S2 until it stops. The motorcycle has walked 1440m in total and lasted for 100s. The maximum speed of the motorcycle in this process is calculated

A system of quadratic equations with two variables is enough. The unknown number is the time of two acceleration periods
One equation is that the total distance is 1400
The other is listed according to the same speed change, A1 * T1 = A2 * T2
It is calculated that T1 is 16S, T2 is 4S (another root increment)
So the maximum speed is 16 m / s

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