A car travels 2.83 km in the x-direction, then turns left 65.3 ◦ to the original direction and travels an additional distance of 3.38 km. Calculate the x component of the car's net displacement. Let : d1 = 2.83 km, θ = 65.3 ◦, and d2 = 3.38 km. Answer in units of km

Question

Mathematics

Gary Burke

1 April, 11:10

A car travels 2.83 km in the x-direction, then turns left 65.3 ◦ to the original direction and travels an additional distance of 3.38 km. Calculate the x component of the car's net displacement. Let : d1 = 2.83 km, θ = 65.3 ◦, and d2 = 3.38 km. Answer in units of km

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Answers (1)

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Giada Howell · Answer 1

4.24 km

Step-by-step explanation:

The x-component of the displacement after the turn is ...

d2·cos (θ) = (3.38 km) cos (65.3°) ≈ 1.41239 km

Adding this to the displacement before the turn, we have ...

x-component of displacement = 2.83 km + 1.41 km = 4.24 km