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A ball is gently dropped from a height of 20 m. If its velocity increases uniformly at the rate of 10 m s−2, with what velocity will it strike the ground? After what time will it strike the ground? - Science

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प्रश्न

A ball is gently dropped from a height of 20 m. If its velocity increases uniformly at the rate of 10 m s−2, with what velocity will it strike the ground? After what time will it strike the ground?

योग
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उत्तर

Here s = 20m, u = 0, a = 10 ms-2

We have, s = ut + `1/2` at2

∴ `(20) = 0 xx t + 1/2 (10)t^2`

⇒ `20 = 1/2 xx 10 t^2`

⇒ `(20 xx 2)/10 = t^2`

⇒ t2 = 4

∴ v = u + at

= 0 + 10 × 2

= 20 m s-1 

The ball strikes the ground after 2 seconds with a velocity of 20 ms-1.

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अध्याय 8: Motion - Exercises [पृष्ठ ११३]

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एनसीईआरटी Science [English] Class 9
अध्याय 8 Motion
Exercises | Q 7 | पृष्ठ ११३
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