# Science:Math Exam Resources/Courses/MATH102/December 2019/Question 11

MATH102 December 2019

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### Question 11

A ball is thrown in the air so that initially it is travelling upwards(the positive direction) at 10m/sec. It accelerates under gravity and air resistance, so that its vertical velocity v(t) satisfies the differential equation

$v'(t)=-10-v(t)$ (here t is measured in seconds and v is measured in m/sec).

How many seconds will it take for the ball reach the peak of its arc?

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