On a cold day, hailstones fall with a velocity of 2i − 6k m s−1 . if a cyclist travels through the hail at 10i m s−1 , what is the velocity of the hail relative to the cyclist? at what angle are the hailstones falling relative to the cyclist?

The velocity of the hail relative to the cyclist is

The angle at which hailstones falling relative to the cyclist is

Step-by-step explanation:

Given : On a cold day, hailstones fall with a velocity of . If a cyclist travels through the hail at .

To find : What is the velocity of the hail relative to the cyclist and At what angle are the hailstones falling relative to the cyclist?

Solution :

The velocity of the hailstone falls is

The velocity of the cyclist travels through the hail is

The velocity of the hail relative to the cyclist is given by,

Substitute the value in the formula,

So, The velocity of the hail relative to the cyclist is

Now, The angle of hails falling relative to the cyclist is given by

So, The angle at which hailstones falling relative to the cyclist is  

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step-by-step explanation:

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x/3-10=8

x/3=18

x=48