91Ó°ÊÓ

A typical male sprinter can maintain his maximum acceleration for \({\bf{2}}.{\bf{0}}\;{\bf{s}}\), and his maximum speed is \({\bf{10 m/s}}\). After he reaches this maximum speed, his acceleration becomes zero, and then he runs at constant speed. Assume that his acceleration is constant during the first \({\bf{2}}.{\bf{0}}\;{\bf{s}}\) of the race, that he starts from rest, and that he runs in a straight line. (a) How far has the sprinter run when he reaches his maximum speed? (b) What is the magnitude of his average velocity for a race of these lengths: (i) \({\bf{50}}.{\bf{0}}\;{\bf{m}}\); (ii) \({\bf{100}}.{\bf{0}}\;{\bf{m}}\); (iii) \({\bf{200}}.{\bf{0}}\;{\bf{m}}\)?

Which angles have the same measure as $∠1$ in the diagram?

Find the measures of the numbered angles in the diagram.

Given:$m∠1=43°$

Find the value of $x$ that makes lines $m$ and $v$ parallel.

Two 25.0-N weights are suspended at opposite ends of a rope that passes over a light, frictionless pulley. The pulley is attached to a chain from the ceiling.

(a) What is the tension in the rope?

(b) What is the tension in the chain?

Tell whether the angles are complementary, supplementary, or neither.

$\begin{array}{c}m∠3=146°\\ m∠4=44°\end{array}$

A transversal intersects two parallel lines, forming alternate interior angles $∠1$ and $∠2$, and vertical angles $∠1$ and $∠3$. Illustrate the situation. How are $m∠2$ and $m∠3$ related? Explain.

Solve the equation by first clearing the fractions.

$\frac{7}{10}x-\frac{1}{5}=\frac{3}{8}$

Find the value of xin the figure. Then find the unknown angle measures.

Find the measures of the numbered angles in the diagram.