MENU
Question -

A ball thrown up vertically returns to the thrower after 6 s. Find
(a) the velocity with which it was thrown up,
(b) the maximum height it reaches, and
(c) its position after 4 s.



Answer -

(a)Time of ascent is equal to the time of descent. The ball takes a total of 6 sfor its upward and downward journey.

Hence,it has taken 3 s to attain the maximum height.

Final velocity of the ball at the maximumheight, v = 0

Acceleration due to gravity, g = −9.8 m s−2

Equation of motion, v = u + gt willgive,

0 = u + (−9.8 × 3)

u = 9.8 × 3 = 29.4 ms−1

Hence, the ball was thrown upwards with avelocity of 29.4 m s−1.

(b) Let the maximum height attained by theball be h.

Initial velocity during the upwardjourney, u = 29.4 m s−1

Final velocity, = 0

Acceleration due to gravity, g = −9.8 m s−2

Fromthe equation of motion,

(c)Ball attains the maximum height after 3 s. After attaining this height, it willstart falling downwards.

Inthis case,

Initial velocity, u = 0

Positionof the ball after 4 s of the throw is given by the distance travelled by itduring its downward journey in 4 s − 3 s = 1 s.

Equationof motion,  willgive,

Totalheight = 44.1 m

Thismeans that the ball is 39.2 m (44.1 m − 4.9 m) above the ground after 4seconds.

Comment(S)

Show all Coment

Leave a Comment

Free - Previous Years Question Papers
Any questions? Ask us!
×