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A ball is thrown vertically upward from the ground with an initial velocity of 39.2 m/sec. If the only force considered is that attributed to the acceleration due to gravity, find the speed - Mathematics

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प्रश्न

A ball is thrown vertically upward from the ground with an initial velocity of 39.2 m/sec. If the only force considered is that attributed to the acceleration due to gravity, find the speed with which will it strike the ground?

योग
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उत्तर

Initial velocity of the ball = 39.2 m/s

Let s be the distance of the ball from the ground at time t.

u = 39.2m/s.

s = `"ut" - 1/2 * "gt"^2` where g = 9.8 m/sec.

s = `39.2"t" - 1/2 xx (9.8)"t"^2`

s = 39.2t – 49t2 

At t = 8

(1) ⇒ v = – 9.8(8) + 39.2

= – 78.4 + 39.2

= – 39.2

∴ The speed with which the ball will strike the ground is = 39.2 m/s

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  क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
अध्याय 11: Integral Calculus - Exercise 11.4 [पृष्ठ १९६]

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सामाचीर कलवी Mathematics - Volume 1 and 2 [English] Class 11 TN Board
अध्याय 11 Integral Calculus
Exercise 11.4 | Q 4. (ii) | पृष्ठ १९६
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