Hello!
A car travels 35.0 mph north for 1.00 hour, then 40.0 mph east for 0.0500 hour, and finally 50.0 mph northeast for 2.00 hours. Calculate the average speed.
We have the following data:
* velocity (in mph)
(V1) = 35.0 mph
(V2) = 40.0 mph
(V3) = 50.0 mph
* weights for the time (in hours)
(T1) = 1.00 hour
(T2) = 0.0500 hour
(T3) = 2.00 hours
We apply the data to the weighted average formula to find the average speed, let us see:
[tex]Weight\:Average = \dfrac{V_1*T_1+V_2*T_2+V_3*T_3}{T_1+T_2+T_3}[/tex]
[tex]Weight\:Average = \dfrac{35.0*1.00+40.0*0.0500+50.0*2.00}{1.00+0.0500+2.00}[/tex]
[tex]Weight\:Average = \dfrac{35+2+100}{3.05}[/tex]
[tex]Weight\:Average = \dfrac{137}{3.05}[/tex]
[tex]Weight\:Average = 44.91803279...[/tex]
[tex]\boxed{\boxed{Weight\:Average = 44.92\:mph}}\Longleftarrow(Average\:Speed)\:\:\:\:\:\:\bf\purple{\checkmark}[/tex]
Answer:
The Average Speed is approximately 44.92 mph
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[tex]\bf\purple{I\:Hope\:this\:helps,\:greetings ...\:Dexteright02!}\:\:\ddot{\smile}[/tex]
Answer:
Average speed will be [tex]44.91mile/hour[/tex]
Explanation:
We have given that car travels 35 mph for 1 hour in north
So distance traveled by car in north = 35×1=35 mile
Car travels 40 mph in east for 0.05 hour
So distance traveled in east = 40×0.05 = 2 mile
And finally the car travels at 50 mph for 2 hour in northeast
So distance traveled in northeast = 50×2 = 100 mile
So total distance = 35+2+100 = 137 mile
Total time = 1+0.05+2=3.05 hour
Now we know that average speed is given by [tex]speed=\frac{total\ distance}{total\ time }=\frac{137}{3.05}=44.91mile/hour[/tex]
