Explanation:
Let east be positive x axis and north be positive y axis
Speed = 1.60 m/s in a direction that is 15.0° north of east.
Speed, v = 1.60 cos 15 i + 1.60 sin 15 j = 1.55 i + 0.414 j m/s
a) We need to find time taken to travel 20 m along east
Speed along east = 1.55 m/s
Distance = Speed x Time
20 = 1.55 x Time
Time = 12.90 seconds
Time taken is 12.90 seconds
b) We need to find time taken to travel 30 m along north
Speed along north = 0.414 m/s
Distance = Speed x Time
30 = 0.414 x Time
Time = 72.46 seconds
Time taken is 72.46 seconds