Multiple choice

A ball is projected from a certain point on the surface of a planet at a certain angle with the horizontal surface. The horizontal and vertical displacements x and y vary with time t in second as: x = 10√3 t, y = 10t -t2, the maximum height attained by the particle is_________.

  1. 125 m

  2. 75 m

  3. 100 m

  4. 25 m

  5. 12.5 m

Reveal answer Fill a bubble to check yourself
D Correct answer
Explanation

Differentiating y with respect to time and putting it to 0, 10 - 2t = 0t = 5 s Now after 5 s, it will attain maximum height as (dy/dt = v =0) at maximum height (Vertical component)putting value of t = 5 s in y,  y = 50 -25 = 25 m (Correct Answer)