A) \[\sqrt{{{(v\,\cos \,\theta )}^{2}}+{{(v\,\sin \,\theta )}^{2}}}\]
B) \[\sqrt{{{(v\,\cos \,\theta -v\sin \,\theta )}^{2}}-\,gt}\]
C) \[\sqrt{{{v}^{2}}+{{g}^{2}}{{t}^{2}}-(2\,v\,\sin \,\theta )\,gt}\]
D) \[\sqrt{{{v}^{2}}+{{g}^{2}}{{t}^{2}}-(2\,v\,\cos \,\theta )\,gt}\]
Correct Answer: C
Solution :
Instantaneous velocity of rising mass after t sec will be \[{{v}_{t}}=\sqrt{v_{x}^{2}+v_{y}^{2}}\] where \[{{v}_{x}}=v\cos \theta =\]Horizontal component of velocity \[{{v}_{y}}=v\sin \theta -gt=\]Vertical component of velocity \[{{v}_{t}}=\sqrt{{{(v\cos \theta )}^{2}}+{{(v\sin \theta -gt)}^{2}}}\] \[{{v}_{t}}=\sqrt{{{v}^{2}}+{{g}^{2}}{{t}^{2}}-2v\sin \theta \,gt}\]
You need to login to perform this action.
You will be redirected in
3 sec
