A delivery man travels 35 mi northwest to his first stop, 60 mi in a direction 3

Question

A delivery man travels 35 mi northwest to his first stop, 60 mi in a direction 35 degree west of south to his second stop. He then travels 10 mi east to his final destination. What the magnitude and direction of his displacement from his starting point? A car is traveling at 80 km/hr in a school zone. A police car is at rest in the parking lot of the school. The policeman begins accelerating as the speeder passes him with an acceleration of 8 m/sec^2, (a) How far has each car traveled when the police car catches the speeder? (b) How fast is the police car going when it catches the speeder? (c) Make a sketch of the position of both cars as a function of time? A crane is lowering a steel girder to the ground at a rate of 5 m/sec. When the girder is at a height of 40 m above the ground the cable breaks. How long does the person standing beneath the girder have to get out of the way? A shot-putter throws the shot with an initial speed of 16 m/sec at an angle 35 degree to the horizontal. The shot is thrown from a height of 2m. Find the horizontal distance the shot travels.

Explanation / Answer

46. r1 = 35 (-cos45i + sin45j) = -24.7i + 24.7j

r2 = 60(-sin35i - cos35j) = - 34.4i - 49.1j

r3 = 10i

r = r1 + r2 + r3

r = (-24.7 - 34.4 + 10)i + (24.7 - 49.1)j

r = - 49.1i - 24.4j

Magnitude = sqrt(49.1^2 + 24.4^2) = 55 mi ....Ans

direction = tan^-1(24.4 / 49.1) = 27 deg south of west ......Ans

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