A particle starts from rest. Its acceleration at time \[\text{t}=0\text{ is 5 m}/{{\text{s}}^{\text{2}}}\]which varies with time as shown in the figure. The maximum speed of the particle will be
A) 7.5 m/s
B) 15 m/s
C) 30 m/s
D) 37.5 m/s
Correct Answer:
B
Solution :
Speed of particle = Area of triangle \[=\frac{1}{2}\times 5\times 6=15\] m/s