A projectile is fired at an angle above the horizontal. The initial x and y components of its velocity are v=74.9m and vy=84.9m S S respectively. At what angle was the projectile fired above the horizontal (in deg)?
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- Check Your Understanding Verify that vector v V obtained in Example 2.14 is indeed a unit vector by computing its magnitude. If the convoy in Example 2.8 was moving across a desert flatland—that is, it the third component of its velocity was zero—what is the unit vector of its direction of motion? Which geographic direction does it represent?In 1999, Robbie Knievel was the first to jump the Grand Canyon on a motorcycle. At a narrow part of the canyon (69.0 m wide) and traveling 35.8 m/s off the takeoff ramp, he reached the other side. What was his launch angle?Suppose you add two vectors A and B . What relative direction between them produces the resultant with the greatest magnitude? What is the maximum magnitude? What relative direction between them produces the resultant with the smallest magnitude? What is the minimum magnitude?
- The F-35B Lighting II is a short-takeoff and vertical landing fighter jet. If it does a vertical takeoff to 20.00-rn height above the ground and then follows a flight path angled at 30 with respect to the ground for 20.00 km, what is the final displacement?In the figure here, a ball is thrown up onto a root landing 4.10slater at heighth22.0mabove the releane level. The ball's path just before landing is angled at 0-68.0with the roof. (a) Find the horizontal distancedit travels Hint One way is toreverse the motion as ifit is on a videa) What are the (b) magnitude and (c)angle trelative to the horirontall of the bals initial velocity? (al Number Unit Unit bi Nomber Unit id NumberAn aircraft travels at 45 km/h towards 35ᴼ SE then turns 40ᴼ WS with a velocity of 72 km/h. What is the magnitude of its resultant velocity?
- An owl is carrying a mouse to the chicks in its nest. Itsposition at that time is 4.00 m west and 12.0 m above thecenter of the 30.0 cm diameter nest. The owl is flying east at3.50 m/s at an angle 30.0º below the horizontal when itaccidentally drops the mouse. Is the owl lucky enough tohave the mouse hit the nest? To answer this question,calculate the horizontal position of the mouse when it hasfallen 12.0 mA ball is thrown with initial velocity v directiy up the face t of inclination angle &, as shown. At what inc line sur face an angle from the honzo nda )x, should He ball be aimed to obtain Hhe maximum posble range R He inc live sur face? up 7 SoA shooter aims horizontally at a target at the unknown distance d: the same height as the shooter with the initial bullet speed vo. Th bullet misses the target by the vertical distance h. What was the distance d? Calculate its numerical value for v0 = 1500 m/s and h=1.5 cm.
- sin(20) where vo is the initial velocity in feet per second and is the angle of elevation. If yo 2300 feet per second and is changed from 13° to 14° use differentials to approximate the change in the range. Round your answer to the nearest integer. The range R of a projectile is R = Select one: Ⓒa. 2811 ft X b. 2593 ft C. 5623 ft d. 4568 ft 5186 ft e. = Incorrect 32A Canada goose flew 1.45 km [15.0 ̊ S of W] to feed, then it flew 1.64 km [70.0 ̊ S ofE] to its roosting location. Determine the goose’s displacement, using thegraphical/tip-to-tail method of vector addition. Answer to two significant digits.Sir Fabro Wants to subtract the position dis placement vectrs. The 2. magnitude of the two vectors 6= 30m at 240°. Deter mine A= 50m, 40° North of East the mag nitu de (R) of the resultant rectors are and difference (R= A- B) and the direction (O8) with the tx - axis