A) \[\text{1 cm}/{{\text{s}}^{\text{2}}}\]
B) \[\text{2 cm}/{{\text{s}}^{\text{2}}}\]
C) \[\text{3 cm}/{{\text{s}}^{\text{2}}}\]
D) \[\text{6 cm}/{{\text{s}}^{\text{2}}}\]
Correct Answer: D
Solution :
Rate of change of velocity is equal to acceleration . \[\therefore \] \[a=\frac{\Delta v}{\Delta t}=\] slope of v-t graph. \[\therefore \] \[{{a}_{m}}=\frac{80-20}{40-30}=\frac{60}{10}=6\,m/{{s}^{2}}\]
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