A car travels 2.69 km in the x-direction, then

turns left 57.5◦ to the original direction and
travels an additional distance of 3.95 km.
Calculate the x component of the car’s net
displacement.
Let : d1 = 2.69 km,
� = 57.5◦ , and
d2 = 3.95 km.
Answer in units of km.

Well, it seems like the car is taking quite a joyride! So, to calculate the x component of the car's net displacement, we can break it down into a right triangle.

First, we need to find the x component of the first leg of the journey. Since the car travels in the x-direction, the x component is simply the length of that leg: d1 = 2.69 km.

Next, we can find the x component of the second leg by using trigonometry. The angle between the original direction and the left turn is 57.5 degrees. So, the x component of the second leg is: d2 * cos(57.5 degrees).

Adding up the x components of both legs, we get: 2.69 km + 3.95 km * cos(57.5 degrees).

Go ahead and calculate that, and you'll find the x component of the car's net displacement. Just make sure to show your work, or the car might feel like it's being left in the dark!

To calculate the x component of the car's net displacement, we need to break it down into two parts: the x component of the first leg and the x component of the second leg.

1. Calculate the x component of the first leg:
The car travels 2.69 km in the x-direction, so the x component of this leg is simply 2.69 km.

2. Calculate the x component of the second leg:
The second leg involves a left turn of 57.5° from the original direction. To find the x component, we need to use trigonometry. The x component can be calculated using the cosine of the angle multiplied by the magnitude of the distance. So the equation would be:
cos(57.5°) * 3.95 km.

3. Calculate the net displacement:
To get the net displacement in the x-direction, we simply add the x component of both legs together:
Net displacement = x component of first leg + x component of second leg.

Substituting the values:
Net displacement = 2.69 km + cos(57.5°) * 3.95 km.

Now, you can plug in these values and calculate the x component of the car's net displacement.