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KCET2012MathematicsParabola

If a ball is thrown vertically upwards and the height ' s ' reached in time ' t ' is given by s=22 t-11 t² , then the total distance travelled by the ball is

Options

  1. A44 units
  2. B33 units
  3. C11 units
  4. D22 units

Correct answer

C. 11 units

Step-by-step solution

Given, s=22 t-11 t² On differentiating Eq. (i) w.r.t. time (t), we get d s d t =22-11 2 t For maximum, ds dt must be equal to zero. (negative) For t =1, ~s is maximum. and the maximum value =22 1-11(1)² =22-11=11 Hence, total distance travelled by the ball is 11 units.

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