Question

1. a car driving on a circular test track shows a constant speedometer reading of 100 km/h for one lap.

a. describe the cars speed during this time.
b. describe its velocity for the one - lap.

1. is it possible for an object to have ...

a. constant speed and changing velocity? explain.
b. changing speed and constant velocity? explain.

1. the space shuttle endeavor is launched to altitude of 500,000 m above the surface of the earth. the shuttle travels at an average rate of 700 m/s.

a. how long will it take for endeavor to reach its orbit (in seconds)?
given?|wanted?|equation|solve|
b. convert seconds to hours.

1. a ufo crashes into earth!! and an alien helmet falls out of the ufo at a speed of 96 m/s.

a. after 17 seconds, how far from the ship has the helmet landed (in m)?
given?|wanted?|equation|solve|
b. convert m to miles (1 mile = 1600 m)

1. a trip to the moon takes 10 hours. the distance is 384,000 km.

a. calculate the average speed in km/h.
given?|wanted?|equation|solve|
b. challenge! calculate the average speed into miles/hour (1 mile = 1.6 km)

Explanation:

Step1: Identify given values for problem 6a

Given distance $d = 500000$ m and speed $v=700$ m/s. Wanted time $t$. Equation $v=\frac{d}{t}$, so $t = \frac{d}{v}$.
$t=\frac{500000}{700}\approx714.29$ s

Step2: Convert seconds to hours for problem 6b

Since 1 hour = 3600 s, conversion factor is $\frac{1}{3600}$ h/s.
$t_{h}=714.29\times\frac{1}{3600}\approx0.20$ h

Step3: Identify given values for problem 7a

Given speed $v = 96$ m/s and time $t = 17$ s. Wanted distance $d$. Equation $d=v\times t$.
$d=96\times17 = 1632$ m

Step4: Convert meters to miles for problem 7b

Given conversion factor 1 mile = 1600 m. So $d_{mi}=\frac{1632}{1600}=1.02$ miles

Step5: Identify given values for problem 8a

Given distance $d = 384000$ km and time $t = 10$ h. Wanted average - speed $v$. Equation $v=\frac{d}{t}$.
$v=\frac{384000}{10}=38400$ km/h

Step6: Convert km/h to miles/h for problem 8b

Given conversion factor 1 mile = 1.6 km. So $v_{mi/h}=\frac{38400}{1.6}=24000$ miles/h

Answer:

6a. 714.29 s
6b. 0.20 h
7a. 1632 m
7b. 1.02 miles
8a. 38400 km/h
8b. 24000 miles/h