A Child Is Sitting on the Seat of a Swing

question 54

Multiple Choice

A child is sitting on the seat of a swing with ropes 10 m long.Her father pulls the swing back until the ropes make a 37º angle with the vertical and then releases the swing.If air resistance is neglected,what is the speed of the child at the bottom of the arc of the swing when the ropes are vertical?

• A)11 m/s
• B)8.8 m/s
• C)14 m/s
• D)6.3 m/s
• E)12 m/s

---

Definitions:

Exponential Distribution

A model used in statistics for describing the times between events in a process where events occur continuously and independently at a constant rate.

Proportion

A fraction or percentage that indicates the part of a whole represented by a certain count or quantity.

Student T Distribution

A probability distribution used in statistical inference for datasets with small sample sizes and unknown population standard deviations.

Variance

A measure of the dispersion of a set of data points around their mean; the average of the squared differences from the Mean.