Use Hamilton's equations to describe the motion of a projectile launched with speed vi at an angle B.
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![Use Hamilton's equations to describe the motion
of a projectile launched with speed vi
at an angle B.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F065ab8b2-8547-418f-bd03-7a1dc7745e6b%2Fcdc03a04-d295-420a-a88c-476c26f5ef91%2Fc5jw0dw_processed.png&w=3840&q=75)
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- Water leaves a fireman’s hose (held near the ground) with an initial velocity v0 = 11.5 m/s at an angle θ = 30.5° above horizontal. Assume the water acts as a projectile that moves without air resistance. Use a Cartesian coordinate system with the origin at the hose nozzle position, as shown. 1). Using v0, θ, and g, write an expression for the time, tmax, the water travels to reach its maximum vertical height. 2)A jetliner is moving at a speed of 245 m/s. The vertical component of the plane's velocity is 40.6 m/s. Given sin e = 0.165, the angle theta is equal to: Select one: O e = 10.0° e = 9.5° e = 11.5° e = 11.0° O OA projectile is fired up an inclined plane (incline angle α) with an initial speed v0 at an angle β with respect to the horizontal (β > α) Let d denote the distance the projectile travels up the incline.a) Express d in terms of α, β, v0 and g.b) For what value of β is d maximal, and what is the maximum value of d?
- An object is moving in a circle of radius 10 cm centered on the origin in the xy-plane at a constant speed of 5 m/s. (a) Express the motion of the object as a vector that depends on time, i.e. find F(t).That's one whole questionA river of width' a'with straight parallel banks flows due north with speed u. The points O and A are on opposite banks and A is due east of O. Coordinate axes Ox and Oy are taken in the east and north directions respectively. A boat, whose speed is v relative to water, starts from O and crosses the river. If the boat is steered due east and u varies with x as : u = x(a – x)- Find : absolute velocity of boatman when he reaches the opposite bank