###### Question 47 (Textile Engineering & Fibre Science)

The acceleration of a cotton tuft flowing through a duct in a straight line follows the relationship , where acceleration is in cm/s^{2}and time is in . The velocity (cm/s) of the tuft when acceleration is zero is

(A) | 160 |

(B) | 180 |

(C) | 200 |

(D) | 220 |

**[Show Answer]**

Given in the question-

Acceleration of cotton tuft(a)=

Where t is time is second

The velocity of cotton tuft(cm/sec)=?

When accelaration is zero

t=40 sec

Calculation-

or

Integration both side-

here,

t=40 sec

v=320-160

Velocity(v)=160 cm/sec (Ans)