It took an object 30 seconds to move from point A to B, then to C. If point B is 10 m, east of point A and 5 m. S 40° W of point C, what is the average velocity of the object? O (0.431 - 0.14 )m/s O (0.461+ 0.11j Im/s O (0.431+ 0.145 Im/s. O (0.461- 0.115 Im/s
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- A ship is spotted from two lighthouses, A and B at 1 P.M. From lighthouse A, which is 39.2 km due west of lighthouse B, the ship is N 36° E. From lighthouse B, the ship is N 75° W. At 1:15 P.M., from lighthouse A, it is observed that the ship's position is N 48° E while from lighthouse B, it is still N 75° W. What is the average speed of the ship between the two sightings? A. 11.92 km/hr B. 11.21 km/hr C. 10.12 km/hr D. 10.76 km/hrEchoes return in 2.5 secs to a person standing in front of a cliff. How far away is the cliff? The speed of sound in air at sea level is 343 m/s when the temp is 200 degrees celsius For question 3 & 4: A student throws a ball vertically upward such that is travels 9.0 m to its maximum height. If the ball is caught at the initial height 2'4 secs after being thrown, What is the ball's average velocity?Find the average velocity. 7.5 m/s0 m/s3.75 m/s A drag racer starting from rest accelerates in a straight line at a constant rate of 5.5 m/s^2 for 6 secs. What is the racer' velocity at the end of the given time? Where would you place a 50 kg mass on a 75 kg 14 meters rod so that its center of mass os 1 meter to the left of the physical center of the rod?An object is shot upwards from ground level with an initial velocity of 3 meters per second; its subject only to the force of gravity (no air resistamce). Find its maximum altitude and the time at which it hits the ground (g = 32fps^2 = 9.8mps^2) Choices: A) 1.184 meters, 0.61224 sec B) 0.4592 meter, 3.267 sec C) 0.9184 meter, 0.61224 sec D) 0.4592 meter, 0.61124 sec
- Two planes leave Manila for a southern city, a distance of 900 km. Plane A travels at a ground speed of 90 kph faster than the plane B. Plane A arrives in their destination 2 hours and 15 minutes ahead of Plane B. What is the ground speed of plane A? A. 205 kph B. 315 kph C. 240 kph D. 287 kphA stone is dropped from the deck of a bridge. The sound of the splash reached the deck 3 secs later. The speed of sound is 342 m/s in still air. Which of the following gives the time the stone travels from the deck to the water surface before the splash? A) 0.288 sec B) 8.821 sec C) 4.181 sec D) 3.188 sec E) 1.881 sec F) 2.881 sec4. A plane traveling at 192 km/h [N] is blown eastward by the wind with a speed of 56.0 km/h. What is the velocity of the plane with respect to the ground? a. 1.36 x102 km/h [E 16.3o S]b. 2.00x102 km/h [N 16.3o E]c. 2.00x102 km/h [N 73.7o E]d. 2.48x102 km/h [E 73.7o S]e. 1.36 x102 km/h [N 73.7o E]
- A person skateboarding with a constant speed of 1.30 m>s releases a ball from a height of 1.25 m above the ground.Given that x0 = 0 and y0 = h = 1.25 m, find x and y for (a) t = 0.250 s and (b) t = 0.500 s. (c) Find the velocity, speed,and direction of motion of the ball at t = 0.500 s.The Airbus A350 from Manila bound for St. Petersburg cannot travel in a straight route due to weather disturbances and some restrictions in the air space. Instead, it travelled at a velocity of 740 kph due 25° NNE, then it turned towards East at a velocity of 870 kph. After that, at a velocity of 900 kph, it ventured 35° WNW, then it turned 50° South of West maintaining the same velocity of 900 kph. Finally, to reach its destination, it needs to turn towards west at a velocity of 350 kph. Find the magnitude and direction of the resultant of the airplane’s velocity during its flight.A catapult above an 8m hill launched a ball with 15 m/s initial velocity and hit a moving cart. If the cart was moving 5 m/s towards the hill, how many meters away was the cart from the hill at the moment the ball was launched (initial position of the cart)? a. 18 b. 32 c. 35 d. 15
- Using either method, determine the average velocity of an object that travels at 120 m/s NE through a strong blowing at 50 m/s @ 15° EoS. A. 104 m/s @ 36.3° NoE B. 104 m/s @ 69.5° EoN C. 104 m/s @ 69.5° NoE D. 104 m/s @ 20.5° EoNIt is given that W=(1)/(2)m(v^(2)-u^(2)). (a) Find W when m=3,u=4 and v=10. (b) Express u in terms of W,m and v.A stone is thrown with an initial speed of 15 m/s at an angle of 53 ° above the horizontal from the top of a 35 m building. If g = 9.8 m/s 2 and air resistance is negligible, then what is the speed of the rock as it hits the ground? a.36 m/s b.21 m/s c.15 m/s d.30 m/s