Question

A girl on a bicycle starts from rest and begins pedaling with constant acceleration. If she has traveled 10.2 m when she reaches 3.70 m/s, what is the magnitude of her acceleration? Assume she travels in a straight line.

A. 0.67 m/s2

B. 0.36 m/s2

C. 1.34 m/s2

D. 2.67 m/s2

A |

B |

C |

D |

Answer #1

We know the equation of motion :

Where, v is final velocity of the object

u is initial velocity of the object

a is acceleration of the object

S is total distance travelled by the object

Given,

u (initial velocity of the girl) = 0 (as she starts from the rest)

v (final velocity of the girl) = 3.70 m/s

S (distance travelled by the girl) = 10.2 m

Putting all the values in the equation, we get

or,

or,

or,

Hence, the correct option is **A** .

For any doubt please comment and please give an up vote. Thank you.

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