6.2. A baseball pitcher throws a pitch horizontally at 30 m/s. Assuming air friction is negligible (which is often not a good assumption in baseball), how far will the ball have dropped by the time it crosses home plate 18.3 m away?
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- A small rocket is launched straight up. When at a height of 5.0km and velocity of 200.0m/s, it releases its booster and enters free fall. Neglecting air friction, what is the velocity of the rocket at a height of 6.0km on its way up? 143m/s 200m/s 244m/s 397m/sPage 6 of 8 6. A projectile is fired at v, = 381.0 at an angle of 9 = 66.0° with respect to the horizontal. Assume that air friction will shorten the range by 32.1%. How far will the projectile travel in the horizontal direction, R?Problem 10: While watching the clouds pass by, you notice a European swallow flying horizontally at a height of h = 21.95 m. When the swallow is directly overhead, it drops an m = 10.5 kg coconut. Refer to the diagram. From your ornithological studies, you know that the air-speed of this particular species of swallow, while carrying such a load, is vo = 6.93 m/s. Neglect air resistance. Assume that your head is at the origin of the coordinate system. Part (c) Enter an expression, in unit vector notation, for the time-dependent velocity vector, V(1), of the coconut. V(1) = vo i - g tj Correct! Part (d) Calculate the magnitude, in kilogram squared meters per second, of the angular momentum of the coconut as observed by you at t = 1.0 s. L = kg · m²/s sin() cos() tan() 8 9 HOME cotan() asin() acos() E 4 6. atan() acotan() sinh() 1 2 3 tanh() ODegrees O Radians cosh() cotanh() END BACKSPACE CLEAR DEL Submit Hint Fedback I ive up! Part (e) Calculate the magnitude, in kilogram squared meters…
- A man stands on the roof of a 15.0-m-tall building and throwsa rock with a speed of 30.0 m/s at an angle of 33.0 above the horizontal.Ignore air resistance. Calculate the speed of the rock just before it strikes the groundProblem 10: While watching the clouds pass by, you notice a European swallow flying horizontally at a height of h = 21.95 m. When the swallow is directly overhead, it drops an m = 10.5 kg coconut. Refer to the diagram. From your ornithological studies, you know that the air-speed of this particular species of swallow, while carrying such a load, is vo = 6.93 m/s. Neglect air resistance. Assume that your head is at the origin of the coordinate system. Part (a) Calculate the magnitude, in kilogram squared meters per second, of the angular momentum of the coconut, as observed by you, at the moment it is released directly overhead. L=| kg · m²/s sin() cos() tan() 7 8. 9. HOME cotan() asin() acos() E 4 6. sinh() cotanh() atan() acotan() 1 3 cosh() tanh() + END Degrees Radians Va BACKSPACE DEL CLEAR Submit Hint Feedback I give up! Part (b) Let 7 be the time-dependent position vector of the coconut with time measured from the instant it was released by the swallow. Enter an expression for its…Problem 10: While watching the clouds pass by, you notice a European swallow flying horizontally at a height of h = 21.95 m. When the swallow is directly overhead, it drops an m = 10.5 kg coconut. Refer to the diagram. From your ornithological studies, you know that the air-speed of this particular species of swallow, while carrying such a load, is vo = 6.93 m/s. Neglect air resistance. Assume that your head is at the origin of the coordinate system. Part (a) Calculate the magnitude, in kilogram squared meters per second, of the angular momentum of the coconut, as observed by you, at the moment it is released directly overhead. L = 1597.19 L= 1597 V Correct! Part (b) Let 7 be the time-dependent position vector of the coconut with time measured from the instant it was released by the swallow. Enter an expression for its horizontal component as a function of time. r(1) = vot v Correct! Part (c) Enter an expression, in unit vector notation, for the time-dependent velocity vector, v(1), of…
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