Mechanics> Rotation...

A ball is thrown from ground into air. At a height 9.1m, the velocity is observed to be V=7.6i+6.1j.Then find:

(a)Maximum height,

(b)Horizontal range and

(c)velocity of the ball at the instant of striking the ground.

Bharadwaj Vemparala , 15 Years ago

Grade 11

1 Answers

Anurag Kishore

As per question u_x = 7.6 m/s u_y = 6.1 m/s

Horizontal component will remain the same throughout the motion because there is no force in x direction

(a) Use the eqn

v_y²= u_y² + 2 a_y s

=> 0 = (6.1)² - 2* 9.8 s

=> s = 1.9m

So,

Maximum height = 9.1 + 1.9 = 11 m

(b) Use

s_y = u_yt + 1/2 a_y t²

=> 11 = 0 + 1/2 * 9.8 t² (at heighest point u_y = 0)

=> t = 1.5 sec

=> d_x = u_xt = 7.6 * 1.5 = 11.4 m

v_x = u_x = 7.6 m/s

v_y =a_y t = 9.8 * 1.5 = 14.7 m/s

Thanks

Anurag Kishore

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Last Activity: 15 Years ago

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Mechanics> Rotation...

A ball is thrown from ground into air. At a height 9.1m, the velocity is observed to be V=7.6i+6.1j.Then find: (a)Maximum height, (b)Horizontal range and (c)velocity of the ball at the instant of striking the ground.

Bharadwaj Vemparala , 15 Years ago

Anurag Kishore

LIVE ONLINE CLASSES

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(b)Horizontal range and

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