VIEWS: 43 PAGES: 3 POSTED ON: 11/17/2011
MOTION IN 2D PRACTICE PROBLEMS: Complete all work on a separate sheet of paper and attach it to this sheet. Write all answers (including units) in the space provided. Displacement Practice Problems in Projectile Motion 1. Consider these diagrams in answering the following 1. An airplane flies due north at 100 m/s questions. through a 30 m/s cross wind blowing from the east to the west. Determine the resultant velocity of the airplane. _____ Which diagram (if any) might represent ... 2. A mountain climbing expedition establishes a base camp and two intermediate camps, A a. The initial horizontal velocity? _______ and B. b. The initial vertical velocity? _______ Camp A is 11,200 m east of and 3,200 m c. The horizontal acceleration? ______ above base camp. Camp B is 8,400 m east d. The vertical acceleration? _____ of and 1,700 m higher than Camp A. Determine the displacement between base 2. Supposing a snowmobile is equipped with a flare camp and Camp B. _____ launcher which is capable of launching a sphere vertically (relative to the snowmobile). If the 3. I went for a walk the other day. I went four snowmobile is in motion and launches the flare and avenues east (0.80 miles), then twenty-four maintains a constant horizontal velocity after the streets south (1.20 miles), then one avenue launch, then where will the flare land (neglect air resistance)? Hint: Check out the Dude Perfect videos. west (0.20 miles), and finally eight streets north (0.40 miles). a. in front of the snowmobile _____ a. What distance did I travel? _____ b. behind the snowmobile _____ b. What's my resultant c. in the snowmobile _____ displacement? _____ 4. A plane intends to fly north with a speed of 3. Suppose an airplane drops a flare while it is moving 250 m/s relative to the ground through a with a constant horizontal speed at an elevated height. high altitude cross wind of 50 m/s coming Assuming that air resistance is negligible, where will the flare land relative to the plane? from the east. Determine … a. the bearing that the plane should a. directly below the plane _____ take (relative to due north) _____ b. below the plane and ahead of it _____ and c. below the plane and behind it. _____ b. the plane's speed with respect to the air. _____ 4. Anna Litical drops a ball from rest from the top of 80-meter high cliff. How much time will it take for the Vector Components ball to reach the ground and at what height will the ball be after each second of motion? _____ 1. The airspeed of a plane is 256 km/h and the pilot keeps the plane pointed north. A wind is blowing 55.6 5. A cannonball is launched horizontally from the top km/h from the west. Determine the speed (in km/h) of of an 80-meter high cliff. How much time will it take for the plane relative to the ground. _____ the ball to reach the ground and at what height will the ball be after each second of travel? _____ 2How many degrees east of north is the airplane in the previous question traveling relative to the ground? 6. Fill in the table below indicating the value of the _____ horizontal and vertical components of velocity and acceleration for a projectile. 3. The airspeed of a plane is 214 km/h and the pilot keeps the plane pointed [N 27.5 ºE]. A wind is blowing 61.5 km/h from the west. Determine the speed (in km/h) of the plane relative to the ground. _____ 4. For the plane in the above question, how many degrees east of north is the plane's velocity relative to the ground? _____ 1 7. The diagram below shows the trajectory for a e) What is the x-velocity just before it hits projectile launched non-horizontally from an elevated the ground? _____ position on top of a cliff. The initial horizontal and f) At what point in the Bozo's path is the vertical components of the velocity are 8 m/s and 20 velocity highest? _____ m/s as shown in the diagram. Positions of the object at 1-second intervals are shown. determine the 14) A rock is thrown with an initial vertical velocity horizontal and vertical velocities at each instant shown component of 30 m/s and an initial horizontal velocity in the diagram. Draw the vectors and their scalar component of 40 m/s. quantities on the diagram. a. What will these velocity components be one second after the rock reaches the top of its path? _____ b. Assuming the launch and landing heights are the same, how long will the rock be in the air? _____ c. Assuming the launch and landing heights are the same, how far will the rock land from where it was thrown? _____ 15) A brick is thrown upward from the top of a building at an angle of 25 degrees above the horizontal and with an initial speed of 15 m/s. If the brick is in the air for 3 seconds, how high is the building? (Draw a picture.) _____ 8. A tennis ball is kicked horizontally off a 35.0-meter high hill and lands a distance of 40.0 meters from the 16) A daredevil tries to jump a canyon of width 10 m. edge of the hill. Determine the initial horizontal velocity To do so, he drives his motorcycle up an incline of the tennis ball. _____ sloped at an angle of 15 degrees. What minimum speed is necessary to clear the canyon? _____ 9. A basketball player leaves the ground with an initial velocity of 10 m/s at an angle of 30-degrees above the 17) A projectile is released at an angle of 37º above horizontal. Determine the time of flight, the horizontal the horizontal at a speed of 15 m/sec. distance, and the peak height of the basketball a. What are the horizontal and vertical player_____ components of its original release velocity? _____ 10. .Nucleo, the physicist, throws a pie at a velocity of b. How much time does the projectile spend 12 m/s. It makes an angle of 30 degrees with the rising to its apex? _____ horizon as it leaves his hand. How far will the pie c. How high is its apex above the release travel before hitting a politician at the same height as position? _____ the pie was thrown? _____ d. How fast is it moving as it passes through its apex? _____ 11.If a ball is thrown with a velocity of 25 m/s at an e. How much total time does it spend in the angle of 37 degrees above the horizontal, what is its air? _____ horizontal velocity component? _____ f. What is its final range? _____ g. What is its resultant impact velocity and 12. What is the speed of the ball in # 11 when it angle of impact just as it is about to strike returns to the same horizontal level? _____ the ground? _____ 18. . A girl runs straight off a cliff with a horizontal 13. Nucleo, the physicist, gets zapped with a Tesla velocity of 2.6 m/s and falls for 1.79s before landing coil as he stands on top of his lab building. This on the ground. What is the vertical component of her causes him to jump over the edge at a velocity of 5 velocity (in m/s) just before she hits the ground? ____ m/s. The building is 3 meters high. As he jumps, 19. What is the horizontal component of her velocity Nucleo makes a 20 degree angle with the horizon. (in m/s) just before as she hits the ground? _____ a) How high does he go? _____ 20 . How high was the cliff (in m) in the previous b) How long does it take to reach the top? question? _____ _____ 21 What was the girl’s acceleration (in m/s/s) just c) What is the horizontal velocity at the top? before the she reached the ground in the previous _____ question? _____ d) How far does it travel horizontally before hitting the ground? _____ 2 3