If a ball is thrown at a velocity of 45   m / s in vertical upward direction, then what would be the velocity profile as function of height? (Assume, g = 10   m / s 2

Step-by-step solution

30. (a) For the ball, we have u = 45   m s - 1 , g = - 10   m s - 2 Now using, v 2 - u 2 = 2   g   h , we have v 2 = ( 45 ) 2 - 20   h ⇒    v = 2025 - 20 h At v = 0 , h = 2025 20 = 101   m at h = 0 , v = 45   m s - 1 As velocity decreases-with height, slope of v - h graph must be negative at all points. Hence, correct graph is (a).