3-2.Motion in Plane
hard

એક પદાર્થને $20m/s$ ના વેગથી $45^o$ ના પ્રક્ષિપ્તકોણે ફેંકતા તેના ગતિપથનું સમીકરણ $h = Ax -Bx^2 $ તો $A : B =$_____

A

$1 : 5 $

B

$5 : 1$

C

$1 : 40$

D

$40 : 1$

Solution

(d) Standard equation of projectile motion

$y = x\tan \theta – \frac{{g{x^2}}}{{2{u^2}{{\cos }^2}\theta }}$

Comparing with given equation

$A = \tan \theta $ and $B = \frac{g}{{2{u^2}{{\cos }^2}\theta }}$

So $\frac{A}{B} = \frac{{\tan \theta \times 2{u^2}{{\cos }^2}\theta }}{g} = 40$   (As $\theta = 45^\circ ,\;u = 20\,m/s,\;g = 10\,m/{s^2}$)

Standard 11
Physics

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