can someone help me solve these two problems? direction is 30 degrees from the x

Question

can someone help me solve these two problems?

direction is 30 degrees from the x-axis (or 60 from the y). After this, he turns and walks in the negative y-direction for 4 km. Find his total displacement vector with respect to his house, and his straight-line distance from it. 1. Al leaves his house and walks along a vector between the x- and y-axes for 4 km. Specifically, his 2. The image below shows the one-dimensional movement of a small animal. Specify all time intervals when it was stopped, and also identify when it was moving fastest, stating whether at the time it was moving forward or backward s (cm) 10 5 24 6 8 0 5 12-14 t (s) 14 10

Explanation / Answer

Let,

A = 4 km ; at 30 deg

B = 4 km ; ay 90

In coordinates form

A = 4 cos30 i + 4 sin30 j

A = 3.46 i + 2 j

B = 0 i - 4 j

C = A + B = 3.46 i + 2 j + 0 i - 4 j = 3.46 i - 2 j

C = sqrt (3.46^2 + 2^2) = 3.99 km

Hence, C = 3.99 km = 4 km

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