Question

Part 2 (Choose 3 Nom TUTT I 1. A race car starts from rest and travels 400 meters in 5.2 seconds. When it crosses the finish line it has a final velocity of 140 m/s. a) What is the acceleration (a) of this car? b) How much time was spent traveling from 100 m/s to 140 m/s? c) If this car continued at this rate of acceleration, how long would it take for it to travel 800 meters? 2. A train starts from rest and travels 40 km in 0.5 hours. a) What distance will be covered after 20 minutes? b) Assuming a uniform change in velocity, determine the acceleration (a). c) If the first stop is 25 km from the point of origin, how long will it take to reach this first destination? 3. Four separate forces are acting on a point mass. Determine the magnitude and direction of the resultant (R) force vector by using the analytical method. IF, = 20 lb @ 30, F2 = 25 lb @ 135 , F3 = 30 lb @ 200, F4 = 15 lb @ 2801 4. A sailboat is steering northeast (035) at 10 mph. The ocean og northeast (035') at 10 mph. The ocean current is moving towards the west (180) at 8 mph, and the wind is blowing at 15 mph toward wind is blowing at 15 mph towards the northwest (135'). Using the analytical method determine the magnitude and direction of the resultant vecto onitude and direction of the resultant vector (R) after one hour of travel.

Answer 1

First question of the image posted is being answered here.

- given . u= 0 U o 8-400 m. t=5.28 s-400 (9) using sa at & 1 at 2 40o = 0+ £ xax (5.2) 2 a = 29.586 Pranones (6) for this motion, e ut at tv-u 14o-loo 29.588 = 110352/6 pansin 29.586 1.3 u=140 m a= 29.586 8=800 m. v² = 4² +298 = (140)² + 2x 29.586X800 o = 258.722 m No 258.722 - 140 = 4.0133 29.586

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