When the Sun is directly overhead, a hawk dives toward the ground at a speed of 4.26 m/s.

If the direction of his motion is at an angle of 35.7◦ below the horizontal, calculate the speed of his shadow along the ground.

Answer in units of m/s.

It would be her horizontal speed..

4.26cos35.7

Honors Physics?

A hummingbird flies 1.9 m along a straight path at a height of 5.3 m above the ground. Upon spotting a flower below, the humming- bird drops directly downward 2.8 m to hover in front of the flower.

a) What is the magnitude of the humming- bird’s total displacement?

Answer in units of m.

How many degrees below the horizontal is this total displacement?

Answer in units of ◦.

To calculate the speed of the hawk's shadow along the ground, we need to consider the motion of the hawk and the angle at which it is diving.

First, let's break down the motion of the hawk into horizontal and vertical components. The vertical component is the hawk's speed directly downwards, which is given as 4.26 m/s. The horizontal component is the speed of the hawk's shadow along the ground.

Given that the angle of motion is 35.7 degrees below the horizontal, we can use trigonometry to find the horizontal component of the hawk's motion. The horizontal component can be calculated using the equation:

horizontal component = hawk's speed * cosine(angle)

Plugging in the values, we get:

horizontal component = 4.26 m/s * cosine(35.7 degrees)

Next, we need to find the speed of the hawk's shadow along the ground, which is equal to the horizontal component. So the speed of the shadow along the ground is:

speed of shadow = horizontal component

Substituting the value we calculated earlier:

speed of shadow = 4.26 m/s * cosine(35.7 degrees)

Now, you can use a scientific calculator or an online calculator to find the value of cosine(35.7 degrees). The final result will be the speed of the hawk's shadow along the ground in m/s.