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A ball is thrown vertically upwards with aninitial velocity of 27.0 m/s. Neglect

ID: 1666625 • Letter: A

Question

A ball is thrown vertically upwards with aninitial velocity of 27.0 m/s. Neglecting air resistance, how longis the ball in the air? What is the greatestheight reached by the ball?  Calculate the first timewhere the ball has half of its initial velocity.

A ball is thrown vertically upwards with aninitial velocity of 27.0 m/s. Neglecting air resistance, how longis the ball in the air? What is the greatestheight reached by the ball?  Calculate the first timewhere the ball has half of its initial velocity.

Explanation / Answer

Initial velocity v = 27 m /s

Time of flight of the ball T = 2v / g

                                            = 5.51 s

(b). Maximum height H = v ^ 2/ 2g

                                     = 37.19 m

©. Final velocity V = v / 2 = 13.5 m / s

From the relation V = v –gt

Required time t= ( v – V ) / g

                        = 1.377 s

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