The average speed of the car for the entire journey is 60 miles per hour.
The given parameters;
- time of motion of the car, t = 1.75 hours
- initial position of the car, x₁ = 10 miles
- final position of the car, x₂ = 115 miles
The total distance traveled by the car is calculated as follows;
total distance = x₂ - x₁
total distance = 115 miles - 10 miles
total distance = 105 miles
The average speed of the car for the entire journey is calculated as follows;
\(average \ speed \ = \ \frac{total \ distance}{total \ time} \\\\average \ speed \ = \ \frac{105 \ miles }{1.75 \ hr} \\\\average \ speed \ = \ 60 \ mph\)
Thus, the average speed of the car for the entire journey is 60 miles per hour.
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