4. A stone is thrown vertically upwards at 24.5 m./sec. from a point on the level with but just beyond a cliff ledge. Its height above the ledge t sec. later is 4.9t (5-t) m. . If its velocity is v m./sec. differentiate to find v in terms oft : i) when is the stone at the ledge level ? ii) find its height and velocity after 1, 2,3, and 6 sec.. iii) what meaning is attached to negative value of s ? a negative value of v ?

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Chapter1: Units, Trigonometry. And Vectors
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4. A stone is thrown vertically upwards at 24.5 m./sec. from a point
on the level with but just beyond a cliff ledge. Its height above the
ledge t sec. later is 4.9t (5-t) m. . If its velocity is v m./sec.,
differentiate to find v in terms of t :
i) when is the stone at the ledge level ?
ii) find its height and velocity after 1, 2,3, and 6 sec..
iii) what meaning is attached to negative value ofs ? a negative
value of v ?
iv) when is the stone momentarily at rest ? what is the greatest
height reached ?
v) find the total distance moved during the 3d sec..
(ans.:v=24.5-9.8t; i)0,5; ii)19.6,29.4,29.4,-29.4;14.7,4.9, -4.9,-
iv)2.5;30.625; v) 1E/
Transcribed Image Text:4. A stone is thrown vertically upwards at 24.5 m./sec. from a point on the level with but just beyond a cliff ledge. Its height above the ledge t sec. later is 4.9t (5-t) m. . If its velocity is v m./sec., differentiate to find v in terms of t : i) when is the stone at the ledge level ? ii) find its height and velocity after 1, 2,3, and 6 sec.. iii) what meaning is attached to negative value ofs ? a negative value of v ? iv) when is the stone momentarily at rest ? what is the greatest height reached ? v) find the total distance moved during the 3d sec.. (ans.:v=24.5-9.8t; i)0,5; ii)19.6,29.4,29.4,-29.4;14.7,4.9, -4.9,- iv)2.5;30.625; v) 1E/
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