Question 1186467
Ram is speeding along a highway when he sees a police motorbike parked on
the side of the road right next to him. He immediately starts slowing down,
but the police motorbike accelerates to catch up with him. It is assumed that
the two vehicles are going in the same direction in parallel paths.
The distance that Ram has traveled in meters t seconds after he starts to
slow down is given by d (t) = 150 + 75t - 1.2t². The distance that the police
motorbike travels can be modeled by the equation d (t) = 4t² How long will
it take for the police motorbike to catch up to Ram?
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Find t when the 2 distances are equal.
{{{150 + 75t - 1.2t^2 = 4t^2}}}
{{{5.2t^2 - 75t - 150 = 0}}}
*[invoke solve_quadratic_equation 5.2,-75,-150]
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Ignore the negative solution.
t =~ 16.20334 seconds
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