2.Motion in Straight Line
hard

એક પદાર્થને $u$ વેગથી ઉપર તરફ ફેંકતા મહત્તમ ઊંચાઇએ $6\,sec$ એ પહોંચે છે,તો પદાર્થ એ $1^{st}$ sec અને $7^{th} \,sec$ માં કાપેલ અંતરનો ગુણોત્તર કેટલો થાય?

A

$1 : 1$

B

$11 : 1$

C

$1 : 2$

D

$1 : 11$

Solution

(b)Time of ascent $ = \frac{u}{g} = 6\;\sec \Rightarrow u = 60\;m/s$

Distance in first second ${h_{{\rm{first}}}} = 60 – \frac{g}{2}(2 \times 1 – 1) = 55\;m$

Distance in seventh second will be equal to the distance in first second of vertical downward motion ${h_{{\rm{seventh}}}} = \frac{g}{2}(2 \times 1 – 1) = 5\;m$

$⇒$  ${h_{{\rm{first}}}}/{h_{{\rm{seventh}}}}$$ = 11:1$

Standard 11
Physics

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