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- Carolyn rides her bike 40.0 south of west for 5.40 miles as illustrated in Figure P3.25. What is the distance she would have to ride due south and due west to reach the same location?CURVILINEAR MOTION 1. A BEAN IS KICKED WITH THE INITIAL VELOCITY OF 161 FPS UPWARD AT 30°TO THE HORIZONTAL FROM AN ELEVATED BUILDING 64.4 FT ABOVE A LEVEL PATHWAY. WHAT HORIZONTAL DISTANCE WILL THE BEAN TRAVEL BEFORE HITTING THE PATHWAY? a. 265 yards b. 13.98 yards yards c. 1,089.00 yards d. 456.99887755567677 Vo = 161 fps 300 64.4 ft pathway5. A ball is thrown following a projectile motion, it is known that the horizontal distance (range) the ball can travel is given by R= sin 24, where r is the range (in feet), vy is the initial speed (in ft/s), B is the angle of elevation the bal is thrown, and g=32 ft/s? is the acceleration due to gravity. a. Express the new range in terms of the original range when an angle 8 (0< @ < 45°) is doubled. b. If a balt travels a horizontai distance of 20 t when kicked at an angle of a with initial speed of 20/2 fus, find the horizontal distance it can travel when you double z. Hint: use result of item (a).
- 5. A ball is thrown following a projectile motion. It is known that the horizontal distance (range) the ball can travel is given by R = sin 20, where r is the range (in %3D feet), vo is the initial speed (in f/s), 0 is the angle of elevation the ball is thrown, and g=32 ft/s? is the acceleration due to gravity. a. Express the new range in terms of the original range when an angle 8 (0< 0 < 45°) is doubled. xiii b. If a ball travels a horizontal distance of 20 ft when kicked at an angle of a with initial speed of 20V2 ft/s, find the horizontal distance it can travel when you double a. Hint: use result of item (a).3. A grasshopper leaps into the air from the edge of a vertical cliff, as shown in the figure. Use information from the figure to find a) the initial speed of the grasshopper and b) the height of the cliff. 6.74 cm 50.0° Not to scale 1.06 m 2012 Peon Edcon nMOTION IN TWO DIMENSION = 30.0 m/s 20.0° (**)m A projectile is thrown from (##) = 8.1 meters above the ground. With initial velocity of 30 m/s and 20 degrees above the horizontal. Find the horizontal displacement, x. Select one: O a. 60.9562 m Ob. 91.4343 m Oc. 76.1953 m Od. 38.0976 m
- Vectors Problem Solvi 3. Solve for the resultant of A = 3.0N, 150°, B = 2.0N, 100° and č = 1.0N, 50° using component method. 4. Solve for the resultant of Ā = 35.0N, 15.0° N of E, B = 20.0N, 45° W of N and Č = 25.0N, 30° E of N using component method. 5. Solve for the resultant of A = 2.5N, 16.0° N of E and B = 10.0N, 40° E of N using law of sine and cosine? (You can verify your answer using the component method.)1104. A projectile is fired with an initial velocity of 193.2 ft per sec upward at an angle of 30° to the horizontal from a point 257.6 ft above a level plain. What hori- zontal distance will it cover before it strikes the level plain? Ans. r 1340 ft 1105. Repeat Prob. 1104 if the projectile is fired downward at 30° to the hori- zontsl.A 65 meter rope that is connected to the top of the building, it is attached to the ground 50 meters from a building. What angle does the rope make with the ground? ut of Select one: 65 m O a. 50.28° uestion O b. 39.7° O c. 37,56° 50m O d. 45°
- 1110. In Fig. P-1109, a ball thrown down the incline strikes it at a distance s 254.5 It. If the ball rises to a maximum height h 64.4 ft above the point of release, compute its initial velocity vo and inclination 6. Ans. v. = 80.5 ft per see; 0= 53.1° FIG. P-1109 and P-1110.A ball is thrown at an initial height of 65 feet at an initial velocity of 75 feet/second at an angle of 65 degrees. Given the parametric equations yY = - - 16t + Vo · Sin(0)t + ho and x = Vo Cos(0)t. When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 3 seconds? feet. seconds. b. When will the object hit the ground? feet. c. How far horizontally will the ball be when it hits the ground? seconds. d. When will the ball be at its maximum height? e. What is the ball's maximum height? feet. feet f. How far horizontally will the ball be when it reaches its maximum height?MOTION IN TWO DIMENSION = 30.0 m/s (0, 0) 20.0° (##)m A projectile is thrown from (##) = 8.1 meters above the ground. With initial velocity of 30 m/s and 20 degrees above the horizontal. Find the horizontal displacement, x. Select one: a. 60.9562 m O b. 91.4343 m O c. 76.1953 m O d. 38.0976 m