A toy car of mass 5 kg moves up a ramp un

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A toy car of mass $5 \,kg$ moves up a ramp under the influence of force  $ F$  plotted against displacement $x$. The maximum height attained is given by

A

${y_{\max }} = 20m$

B

${y_{\max }} = 15m$

C

${y_{\max }} = 11m$

D

${y_{\max }} = 5m$

A toy car of mass $5 \,kg$ moves up a ramp under the influence of force  $ F$  plotted against displacement $x$. The maximum height attained is given by

Work done $=$ Gain in potential energy
Area under curve $= mgh$
$⇒$ $\frac{1}{2} \times 11 \times 100 = 5 \times 10 \times h$
$⇒$ $h = 11m$