Time and Motion Problems – Set 2

1. A car moves at a speed of 80 km/h for 4 hours. Calculate the distance covered.

Distance = Speed × Time

[ text{Distance} = 80 , text{km/h} times 4 , text{hours} = 320 , text{km} ]

2. A cyclist travels 18 km in 45 minutes. Find his speed in km/h.

Speed = Distance / Time

[ text{Time} = frac{45 , text{minutes}}{60} = 0.75 , text{hours} ]

[ text{Speed} = frac{18 , text{km}}{0.75 , text{hours}} = 24 , text{km/h} ]

3. Convert a speed of 50 km/h to m/s.

Speed in m/s = Speed in km/h × (1000 m / 1 km) × (1 hour / 3600 seconds)

[ text{Speed} = 50 times frac{1000}{3600} approx 13.89 , text{m/s} ]

4. A train travels 180 km at a speed of 90 km/h. How long does the journey take?

Time = Distance / Speed

[ text{Time} = frac{180 , text{km}}{90 , text{km/h}} = 2 , text{hours} ]

5. A pendulum completes 90 oscillations in 30 seconds. Calculate its frequency.

Frequency = Number of oscillations / Time

[ text{Frequency} = frac{90}{30 , text{seconds}} = 3 , text{Hz} ]

6. A bus travels at 60 km/h for 2.5 hours. Calculate the distance covered.

Distance = Speed × Time

[ text{Distance} = 60 , text{km/h} times 2.5 , text{hours} = 150 , text{km} ]

7. Convert a speed of 25 m/s to km/h.

Speed in km/h = Speed in m/s × (3600 seconds / 1 hour) × (1 km / 1000 m)

[ text{Speed} = 25 times frac{3600}{1000} = 90 , text{km/h} ]

8. A car travels 90 km in 1.5 hours. Find its speed in km/h.

Speed = Distance / Time

[ text{Speed} = frac{90 , text{km}}{1.5 , text{hours}} = 60 , text{km/h} ]

9. A train travels at 110 km/h for 3.5 hours. Calculate the distance covered.

Distance = Speed × Time

[ text{Distance} = 110 , text{km/h} times 3.5 , text{hours} = 385 , text{km} ]

10. A pendulum’s frequency is 0.5 Hz. What is its time period?

Time period = 1 / Frequency

[ text{Time period} = frac{1}{0.5} = 2 , text{seconds} ]

11. A cyclist takes 2 hours to travel 60 km. What is his average speed?

Average Speed = Distance / Time

[ text{Average Speed} = frac{60 , text{km}}{2 , text{hours}} = 30 , text{km/h} ]

12. A car moves at 15 m/s for 10 minutes. Calculate the distance covered in kilometers.

Distance in meters = Speed × Time

[ text{Time} = 10 , text{minutes} times 60 = 600 , text{seconds} ]

[ text{Distance} = 15 , text{m/s} times 600 = 9000 , text{meters} ]

[ text{Distance in kilometers} = frac{9000}{1000} = 9 , text{km} ]