Two projectiles are fired, one with velocity vo1 making an angle and the other with velocity v02 making an angle ✪ (0₁ >0₂). Show that if they are to collide in midair the time interval between the two firings must be 20102 sin(0₁-0₂) g(vol cos₁ +V02 cos 2)
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- -20. Two cyclists, Mike and Josh, simultaneously started toward each other from two towns d = 24 km apart. Josh rode at vj = 25 km/h, and Mike %3D at UM = 15 km/h. The moment they start, a fly also starts from Josh towards Mike and after reaching Mike, immediately returns towards Josh. The fly continues back and forth motion between the cyclists till the cyclists meet. Air speed of fly is UF = 30 km/h and the wind blows always towards Mike with a constant velocity u = 10 km/h. Find the total distance s flown by the fly. Sneedometer shows speed and odometer shows distance travelled, bothQuestion 7 of 16 A student drew the relation between the hegt Ihs and the square of the horzantal range D2 in projectle experiment by dropping the ball each time from the same hieght y. What is the velocity Vo? (The gravity acceleration gis 9.8 m/s)? 0332.4cm/s 145cm/s 0313cm/s 0980cm/s 031.3cm/s B Vo S 4 2 1 0 0 100 300 400 D'(an) 500 600A cannon tilted upward at θθtheta = 35 ∘∘ fires a cannonball with a speed of 100 m/sm/s . At that instant, what is the component of the cannonball’s velocity parallel to the ground?
- An experimentalist in a laboratory finds that a particle has a helical path. The position of this particle in the laboratory frme is given by r(t)= R cos(wt)i + R sin(wt)j + vztk R,vz, and w are constants. A moving frame has velocity (Vm)L= vzk relative to the laboratory frame. In vector form: A)What is the path of the partical in the moving frame? B)what is the velocity of the particle as a function of time relative to the moving frame? C)What is the acceleration of the particle in each frame? D)How should the accelerartion in each frame be realted?Does your answer to part c make sense?gun is fired on a level plane. The barrel is inclined at 38° from the horizontal and the 1.A muzzle "velocity" of the shell is 501 m/s. What is the horizontal range of the shell? Neglect GY ItsistarceA railroad flatcar is traveling to the right at a speed of 13.0 m/srelative to an observer standing on the ground. Someone is riding amotor scooter on the flatcar. What is the velocity (magnitudeand direction) of the scooter relative to the flatcar if the scooter’svelocity relative to the observer on the ground is 3.0 m/s to the left?
- Airplanes A and B are flying at the same altitude and are tracking the eye of hurricane C. The relative velocity of C with respect to A is VCIA = 250km/h Y15", and the relative velocity of C with respect to B is Ven = 320km/h 40". Determine (a) the relative velocity of B with respect to A, (b) the velocity of A if ground-based radar indicates that the hurricane is moving at a speed of 20 km/h due north, (c) the change in position of C with respect to B during a 10-min interval. IN BAt time t sec, the positions of twoparticles on a coordinate line are s1 = 3t3 - 12t2 + 18t + 5 mand s2 = -t3 + 9t2 - 12t m. When do the particles have the same velocities?A boy is flying two kites at the same time. One kite is on a 125 foot line and the other is on a 260 foot line. If the angle between the two lines is 400 what is the distance between the kites? and Two boats leave port at the same time. One is travelling 35mi/h in a direction of N 400W and the second is travelling 25mi/h in a direction of S 150 w. How far apart are the boats after 3 hours?
- The velocities of the particles at an instant are VA = 5m/s and VB = 7m/s, with the angle between them at 37.5o. Determine the magnitude of VB/A, round-off the answer into two decimal places in m/s.In a friendly neighborhood squirt gun contest a participantruns at 7.8 m>s horizontally off the back deck and fires her squirtgun in the plane of her motion but 45° above horizontal. The guncan shoot water at 11 m>s relative to the barrel, and she fires thegun 0.42 s after leaving the deck. (a) What is the initial velocityof the water particles as seen by an observer on the ground? Giveyour answer in terms of the horizontal and vertical components.(b) At the instant she fires, the gun is 1.9 m above the level ground.How far will the water travel horizontally before landing?12–221. Two boats leave the pier P at the same time and travel in the directions shown. If va = 40 ft/s and vg 30 ft/s, determine the velocity of boat A relative to boat B. How long after leaving the pier will the boats be 1500 ft apart? y VA = 40 ft/s UR = 30 ft/s 30° 45°