Question

show instructions question 1 (1 point) preston goes on a camel safari in africa. they he travels 5 km north, then 3 km east and then 1 km north again. what was his displacement?

a \t5km nne

b \t9km nne

c \t6.7km nne

d \t7.25km nne

Explanation:

Step1: Calculate total northward distance

Preston travels 5 km north and then 1 km north. So total northward distance \( d_{north} = 5 + 1 = 6 \) km.

Step2: Eastward distance

He travels 3 km east, so \( d_{east} = 3 \) km.

Step3: Use Pythagorean theorem for displacement

Displacement \( d \) is the hypotenuse of a right triangle with legs \( d_{north} \) and \( d_{east} \). So \( d=\sqrt{d_{north}^2 + d_{east}^2}=\sqrt{6^2 + 3^2}=\sqrt{36 + 9}=\sqrt{45}\approx6.7 \) km. The direction is NNE (North - North - East) as it has components in north and east.

Answer:

c. 6.7km NNE