Question

a plane travels 204 km, northeast in 15.0 minutes. It also increases elevation by 1.6 km, upward in the same amount of time. What are the average velocities in the two seperate directions?

Answer 1

Answer: The average speed of the plane in northeast direction is 816 km/hr and that in upward direction is 6.4 km/hr

Explanation:

Average speed is defined as the ratio of total distance traveled to the total time taken.

To calculate the average speed of the runner, we use the equation:

$\text{Average speed}=\frac{\text{Total distance traveled}}{\text{Total time taken}}$       .......(1)

• In northeast direction:

Total distance traveled = 204 km

Total time taken = 15.0 mins = 0.25 hr   (Conversion factor:  1 hr = 60 mins)

Putting values in equation 1, we get:

$\text{Average speed of plane}=\frac{204km}{0.25hr}=816km/hr$

• In upward direction:

Total distance traveled = 1.6 km

Total time taken = 15.0 mins = 0.25 hr

Putting values in equation 1, we get:

$\text{Average speed of plane}=\frac{1.6km}{0.25hr}=6.4km/hr$

Hence, the average speed of the plane in northeast direction is 816 km/hr and that in upward direction is 6.4 km/hr

Answer 2

Answer:

230 m/s northeast, 1.8 m/s up

Explanation:

204 kilometres = 204000 metres

15.0 minutes = 900 seconds

Velocity = Distance / Time

= 204000 / 900

= 230 m/s northeast (to 2 sf.)

1.6km = 1600 metres

Velocity = 1600 / 900

= 1.8 m/s up (to 2 sf.)

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