Question #44266

A car moves at constant 60km for 1km and 40km/hr next 1km what is the average speed of car

Expert's answer

Answer on Question #44266, Physics, Mechanics | Kinematics | Dynamics

A car moves at constant 60km for 1km and 40km/hr next 1km what is the average speed of car

Solution:

Average speed is equal to v=Stv = \frac{S}{t}, where SS is total distance and tt is total time of motion.

The total time is equal to sum of two times (first when car is moving with speed 60kmh60\frac{km}{h} and second when the car is moving with speed 40kmh40\frac{km}{h}). Thus, t=t1+t2=(160+140)ht = t_1 + t_2 = \left( \frac{1}{60} + \frac{1}{40} \right)h.

Total distance is S=1 km+1 km=2 kmS = 1 \text{ km} + 1 \text{ km} = 2 \text{ km}.

Then average speed S/tS/t is 47.6kmh47.6\frac{km}{h}

Answer: 47.6kmh47.6\frac{km}{h}

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