A car travels 240 km in 2.0 hrs and a sprinter travels a 100. m in 9.5 s. Which is traveling faster and by how much?
Car: (convert first the units)
240 km (1000 m /1 km) = 240000 m
2 hr (3600 s / 1 hr) = 7200 s
v = d/t
v = 240000/7200
v = 33.33 m/s
Sprinter:
v = d/t
v = 100/9.5
v = 10.53 m/s
thus the car travels faster than sprinter by 33.33 - 10.53 = 22.8 m/s
Answer:
the car goes faster by a difference of 22.8 m\s
Explanation:
First we calculate the speed of each with the following formula
\(V= \frac{d}{t} \\V= \frac{100m}{9.5s} \\V= 10.5 \frac{m}{s}\)
\(V= \frac{240 Km}{2 h}\\ V= 120 Km/h\)
To be able to compare which is faster we must use the same units
we transform from km per hour to m per second
\(120\frac{Km}{h}.\frac{1000m}{1Km}= 120000 \frac{m}{h}\\120000 \frac{m}{h}.\frac{1h}{3600s}= 33.3 \frac{m}{s}\)
To know how much faster the car goes we subtract the speed of the car with that of the sprinter
\((33.3-10.5)\frac{m}{s}= 22.8 \frac{m}{s}\)