1. The problem statement, all variables and given/known data A bus starts moving with an acceleration of 2m/s^2. a cyclist, 96m behind the bus starts moving towards the bus simultaneously at 20m/s. in how much time will he overtake the bus. Kindly point out the mistake in my solution too. 2. Relevant equations v = u + at s = ut + 1/2 * at^2 3. The attempt at a solution As far as my thinking takes me, we have to use the concept of subtracting 2 velocities but as this is accelerated motion what I've done is that written a function f(t) f(t) = u + at in this case the initial velocity is 0 therefore, f(t) = at which will give you the instantaneous velocity. The cyclist is 96m behind therefore we need to find the time it would take for him to cover 96m so I've come up with the following eqn. (20 - f(t)) * t = 96 (20 - 2t) * t = 96 20t - 2t^2 = 96 We now have a quadratic equation after solving it I get the answer 5, but that is wrong and I don't know where I'm making a mistake, please point that out too.