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- A glider aircraft initially traveling due west at 85.0 km/h encounters a sudden gust of wind at 35.0 km/h directed toward the northeast (Fig. P3.62). What are the speed and direction of the glider relative to the ground during the wind gust? (The velocity of the glider with respect to the ground is the velocity of the gilder with respect to the wind plus the velocity of the wind with respect to the ground.)(a) A daredevil is attempting to jump his motorcycle over a line of buses parked end to end by driving up a 32° ramp at a speed of 40.0 m/s (144 km/h). How many buses can he clear if the top of the takeoff ramp is at the same height as the bus tops and the buses are 20.0 m long? (b) Discuss what your answer implies about the margin of error in this act—that is, consider how much greater the range is than the horizontal distance he must travel to miss the end of the last bus. (Neglect air resistance.)1106. A projectile is fired with an initial velocity of v. ft per sec upward at an angle of 0° with the horizontal. Find the horizontal distance covered before the projectile returns to its original level. Also determine the maximum height attained by the projectile. v.? sin 2 0 ;h v. sin? 6 2 g Ans. I = %3D 1107 The oon ah
- a) At what height above the ground does the projectile have a speed of 0.5v0? Express your answer in terms of v and g. You may or may not use all of these quantities. b) What is the speed of the object at the height of (1/2)hmax? Express your answer in terms of v and g. You may or may not use all of these quantities.A projectile is fired with a speed u at an angle θ with the horizontal. Its speed when its direction of motion makes an angle α with the horizontal is:a. uSinθ sec αb. uCosθ sec αc. uCosθ Cos αd. uSecθ Sin αe. uSecθ Cos αA projectile is launched at an angle of 30°to the horizontal from 6.5 ft above the ground at an initial speed of 100ft/sec. Assume the x-axis is horizontal, the positive y-axis is vertical (opposite g), the ground is horizontal, and only the gravitational force acts on the object. a. Find the velocity and position vectors for t≥0. b. Determine the time of flight and range of the object. c. Determine the maximum height of the object.
- 79. 000 A hockey player hits a "slap shot" in practice at a horizontal distance of 15 m from the net (with no goalie present). The net is 1.2 m high, and the puck is initially hit at an angle of 5.0° above the horizontal with a speed of 50 m/s Does the puck make it into the net?Question A5 A projectile is thrown from the ground with a speed of 30 m-s¹ at an angle of 35° from the horizontal. Calculate the height of the projectile from the ground when its speed is 18 m-s-¹. Ignore air resistance.Max Height = V;*sin's (visine) 28 28 Max Ronge = v? sin 20 Vi Height 8 = 9. 81 m/sz Range 1.) A very small cannon (very small, meaning we can disregard its size) has a muzzle velocity (velocity of the projectile as it leaves the barrel) of 30 m/s and is at an angle of 35° from the ground. a.) What is the Max Height? b.) What is the Range? Somple . Diagrom Vi = inital velocty cmuzzle velocity) 0 = ongle from the grond Vi = 30 m/e Height e= 350 Ronge a) Monx Height : (30) (ain 5) Max Height = V;? sin?e 28 15- 09 m R(9.81) b.) Ronge : v.* sin 20 (30)2 sin (70*) Ronge = 86.21M * Incicode your final answers. In this case, I used a box
- Viy=? 30 Va-326m/s A rocket is fired at an angle of 30° above the horizontal. If the x-component of its initial velocity is vix (Take g = 10 m/s?). 326 m/s, what is the y-component of its initial velocity ? ( Viy =?) (A) 188.2 m/s (B) 376.4 m/s (C) 330 m/s (D) 250 m/s (E) 163 m/s O BIP A hot-air balloon rises from the ground with a velocity of (3.00 m/s ŷ. A champagne bottle is opened to celebrate takeoff, expelling the cork horizontally with a velocity of (6.00 m/s x relative to the balloon. When opened, the bottle is 6.00 m above the ground. What is the initial velocity of the cork, as seen by an observer on the ground? Enter your answers numerically separated by a comma. ? Vz. Vy = m/s Submit Request Answer Part B What is the speed of the cork, as seen by the same observer? ? Vg = m/s Submit Request Answer Part C What is its initial direction of motion, as seen by the same observer? ?Which of the following will reach the maximum range? a. A golf ball is hit at an angle of 90° above horizontal with a speed of 80 m/s. b. A golf ball is hit at an angle of 80° above horizontal with a speed of 90 m/s.