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- 85. A plane travels N30°W at 450 mph and encounters a wind blowing due west at 30 mph. (See Example 9) a. Express the velocity of the plane v, relative to the air in terms of i and j. b. Express the velocity of the wind vw in terms of i and j. c. Express the true velocity of the plane v, in terms of i and j and find the true speed of the plane.2. The depth of the crater of TaalVolcano was calculated in the following manner. From a helicopter flying vertically upwards at 6 m/s, a small bomb was released at the instant the helicopter was 36 m above the crater surface. The sound of the explosion was heard 9 seconds later. The speed of sound is 330 m/s. What is the depth of the crater? A. 175 m B. 198 m C. 212 m D. 231 m1) Pheromone is a substance emitted by ants while they travel so that others may be able to follow exactly the same direction as the others took. If a zoologist is to measure the distance the ant travels and in what particular direction does it take, how would this quantity be classified? A. Equilibriant B. Magnitude C. Scalar D. Vector 2) Which of the following statements regarding vectors and scalars is INCORRECT? A. A scalar quantity may be either positive or negative. B. A vector that is zero may have components other than zero. C. It is possible to use vector components that are not perpendicular. D. Two vectors are equal only if they have the same magnitude and direction.
- 1. You and your friend went to a camp. While you are in your cabin, you both decided to hike and visit the lake several kilometers away. Since there is two possible hiking course, you both decided that you take path 1 while your friend will try path 2. The total distance for path 1 is 7.5 km while path 2 is 8.2 km. What is the final displacement of each camper?A person is traveling in a plane at 400 miles/hour due east with a strong crosswind blowing from north to south at 200 miles/hour. A) What is the velocity and direction angle of the plane in the crosswind? B) What is the total distance traveled by the airplane in one hour?Please answer both
- A physics student measures the depth of a deep hole by dropping a rock into the hole. The rock takes 5 seconds to hit the bottom. Assuming g = 10 m/s2, the depth of the hole is approximately: %3D A. 25 meters B. 50 meters C. 100 meters D. 125 meters E. 200 meters1) When representing a velocity vector, A. The length of the arrow represents the speed of the vector. B. The length of the arrow is drawn to a suitable scale. C.The direction of the arrow shows the direction of the vector. D. All of the above. 2) Which of the following is the equilibriant of the velocity equivalent to 50kph, 40 degrees S of W? A. 0.28 km B. 0.34 km C. 0.42 km D. 0.66 km6. If a river has a westward current of 2.30 m/s and you head due north across the river on a boat that has a speed of 3.5 m/s in still water, then what is speed of the boat relative to the shore? At what angle does it cross the river? Draw a picture and label the angle.
- 17. For a projectile, the y-axis motion occurs as a result of the gravitational action on the projectile and this gives way to its fall toward the Earth in parabolic motion. a. True b. False 18. The sum of two or more vectors is called a complementary vector a. True b. FalseA kangaroo can jump over an object 2.7 m high. a. Calculate its vertical speed when it leaves the ground, in meters per second. b. How many seconds is it in the air?A motorboat traveling 5 m/s, East encounters a current traveling 2.5 m/s, North. a. What is the resultant velocity of the motor boat? b. If the width of the river is 80 meters wide, then how much time does it take the boat to travel shore to shore? c. What distance downstream does the boat reach the opposite shore?