VELOCITY
Problem #1:
» If a jeepney travels at 100 km in 2 h, what is its average speed?
Given:
- d (distance) = 100 km
- t (time) = 2 h
- v (velocity) = ?
Formula:
- [tex] \underline{ \boxed{ \tt v = \frac{d}{t} }}[/tex]
– To calculate the velocity, divide the given distance by the given time.
Solution:
- Substitute the given distance and time to the formula, we get...
- [tex] \tt \: v = \frac{d}{t} \\ \: \: \: \: \: \: \: \: \: \: \tt \: v = \frac{100 \: km}{2 \: h} \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: v = \underline{ \boxed{ \blue{ \tt{50 \: km/h}}}}[/tex]
Final Answer:
- [tex] \color{hotpink} \bold{50 \: km/h} \\ [/tex]
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Problem #2:
» John ran around the campus at a distance of 200 m in 2s. What was his average speed?
Given:
- d (distance) = 200 m
- t (time) = 2 s
- v (velocity) = ?
Formula:
- [tex] \underline{ \boxed{ \tt v = \frac{d}{t} }}[/tex]
– To calculate the velocity, divide the given distance by the given time.
Solution:
- Substitute the given distance and time to the formula, we get...
- [tex] \tt \: v = \frac{d}{t} \\ \: \: \: \: \: \: \: \: \tt \: v = \frac{200 \: m}{2 \: s} \\ \tt \: \: \: \: \: \ \: \: \: \: \: \: \: \: \: v = \underline{ \boxed{ \blue{ \tt{100 \: m/s}}}}[/tex]
Final Answer:
- [tex] \color{hotpink} \bold{100 \: m/s} \\ [/tex]
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Explanation:
– In problem #1, since the given distance is measured in kilometer (km) and given time is measured in hour (hr). Therefore, its velocity should be measured in km/hr.
– In problem #2, the given distance is measured in meters (m) and given time is measured in seconds (s). Therefore, its speed/velocity should be measured in meters per second (m/s).
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