The position of a particle moves in the xy-plane is given by: P = 4f°i-5²j(m), . where t in second. What is the magnitude of the average acceleration of the particle between t =1 s and t = 4s (in m/s³). a. оь. 58.4 Oc. 70 O d. 60.8
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- The position of a particle moves in the xy-plane is given by: 7 = 4ťi-5t²j(m), , where t in second. What is the magnitude of the average acceleration of the particle between t =1s and t = 4s (in m/s). %3D a. 70 O b. 58.4 Oc. 60.8 Od. 60O e. 10 m Starting at time t = 0, an object starts moving along a straight line. Its coordinate in meters is given by: x(t)=5t-7t³, where t is in seconds. When it momentarily stops its acceleration is: a. -13.66 Ob.-20.49 O c. 20.49 O d. -10.25A car is moving along a straight road with an initial velocity of v;=12 m/s and an acceleration, a=3 m/s. What is the distance traveled (in m) after t=9 s? A. 918 B. 459 C. 229.5 D. None E. 688.5 Next page to search ASUS 近
- My Courses Log ou 14. Jun throws a stone straight upward alongside a tree with an initial velocity of 32 ft/sec. The stone rises until it is even with the top of the tree and then falls back to the ground. How tall is the tree? A. 16 ft В. 20 ft C. 32 ft D. 64 ft 15. Which of the following statements is/are false? I. A particle moves to the right of the origin when its velocity is positive. II. A particle is not moving when its acceleration is zero. III. A particle's speed is decreasing when its velocity and acceleration have opposite directions. A. I only B. II only C. II and III D. I and III 16. A dynamite blast blows a heavy rock straight up with a launch velocity of 160 ft/sec. It reaches a height of s=16ot -16t2 aftert sec. How high does the rock go? A. 350 ft В. 400 ft C. 450 ft D. 475 ft10. A particle moves along a straight line with an acceleration of a = 5/(3s3 + s32) m/s, where s is in meters. Determine the particle's velocity when s = 2 m, if it starts from rest when s 1 m. Use a numerical method to evaluate the integral. Ans. v= 1.29 m/sA particle moves in the x-y plane, starting from the origin with an initial velocity of ( 4i -8.7j) m/s. The particle experiences a constant acceleration of ( 4i ) m/s?. Calculate the speed of the particle at t = 5 s а. 99.69 b. 24.18 O' c. 584.70 d. 25.53
- 7. At t = 0, a particle leaves the origin with avelocity of u 9.0m/s j the xy plane with an acceleration of a 2.0i- 4.0j m/s2. At the instant the x coordinate of the particle is 15 m, what is the speed of the particle? A. 10 m/s B. 16 m/s C. 12 m/s D. 14 m/s E. 26 m/s maximum height above ch se, 2019. DepartmeO c. 70 i -42 j Adha O d. 30 i +42 j^ 12. Finish Starting at time t = 0, an object starts moving along a straight line. Its coordinate in meters is given by: x(t)=6t-3t°, where t is in seconds. When it momentarily stops its acceleration is: O a. -7.35 O b. -9.80 O c. 14.70 O d. -14.70 A 9.9 kg block hangs by a string from the ceiling of an elevator. The elevator is moving down with a constant velocity of 1.4 m/s. the tension, T (N), in the FUJITSU15. A ball is hit upward with an initial velocity of 128 feet per second. After t seconds, its height h(t) is given by the function h(t) = -16t?+128t+4. What is the maximum height in feet of the ball? a. 268 feet b. 256 feet C. 264 feet d. 260 feet
- As spherical ball is thrown vertically downward With an initial the speed of 11.35 m/s from the top of a building 30 m high. a. The term in the velocity of the ball just before it strikes the ground. b.1. A rugby player throws her rubgy ball vertically up and catches it after 2.2 seconds. a. How high does the ball go before it goes back to the player’s hand? b. How fast does the ball go as it approaches the player’s hand?4. A river flows from south to north at 10 km/h. Anya puts her kayak in the water and paddles north with a speed of 15 km/h relative to the water. At the same time, Bert puts his kayak in the water 60 km north of Anya and paddles south at 15 km/h relative to the water. How much time passes before they meet? d. 6 h а. 1h b. 2 h с. 4h е. 8h