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  • The displacement of a particle moving in a straight line is given by <img alt="\mathrm{x=10 t+4 t^2}" src="https://entrancecorner.oncodecogs.com/gif.latex?%5Cmathrm%7Bx%3D10%20t&plus;4%20t%5E2%

The displacement of a particle moving in a straight line is given by \mathrm{x=10 t+4 t^2}, (where t in seconds and x in m).
The Acceleration of the particle at \mathrm{t=4 \, \mathrm{sec}}.

Option: 1

\mathrm{8 \mathrm{~m} / \mathrm{s}^2}


Option: 2

\mathrm{4 \mathrm{~m} / \mathrm{s}^2}


Option: 3

\mathrm{6 \mathrm{~m} / \mathrm{s}^2}


Option: 4

None of these 


Answers (1)

best_answer

Displacement equation is given by- 

                    \mathrm{x=10 t+4 t^2}

\mathrm{\text { velocity } v=\frac{d x}{d t}=\frac{d}{d t}\left(1 \circ t+4 t^2\right)}

                     \mathrm{v=10+8 t} \, \, \, \, \, \, .......(1)

\mathrm{\text { Acceleration } a=\frac{d u}{d t}=\frac{d}{d t}(10+8t)}

                               \mathrm{=0+8 \times 1=8}

\mathrm{a=8 \mathrm{~m} / \mathrm{s}^2 \quad \text { Ans. }}

Posted by

sudhir kumar

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