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a ball rolls horizontally off the top of a stairway with a speed of 1.52m/s . the steeps are 20.3m high and 20.3 m wide which step does the ball hit first?

a ball rolls horizontally off the top of a stairway with a speed of 1.52m/s . the steeps are 20.3m high and 20.3 m wide which step does the ball hit first?

Grade:11

1 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear shivanshi

its a question of projectile motion

initial velocity of ball is 1.52 m/sec in horizontal direction

the steeps are 20.3m high

 time take to fall this distance is

  h= 1/2gt2

 20.3 =1/2 *10 *t2

 t= 2.015 sec

in this time horizontal distane travell = 1.52 * 2.015 =3.063 m

since distance is less than 20.3  so ball hit the first step

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