Part D Constants A 400.0-m-wide river flows from west to east at 30.0 m/min. Your boat moves at 100.0 m/min relative to the water no matter which direction you point it. To cross this river, you start from a dock at point A on the south bank. There is a boat landing directly opposite at point B on the north bank, and also one at point C, 75.0 m downstream from B (the figure (Figure 1)) To reach point C at what bearing (angle north of west) must you aim your boat? "Bearing" means the direction of the boat with respect to the water, not the land. Again, you should imagine that you can only look at the water to determine your direction (and not use a compass, or look at features on shore to make corrections in the direction) and that this direction is maintained for the entire trip across the river. Hint: the main point of this part of the problem is to encourage you to use the Galilean velocity vector formula. Let G be the frame attached to the ground, and Frame R be floating with the river. The object of interest that is moving is the boat - label it b. The velocity formula becomes VbG VbR+VRG. The issue here is that you only know the magnitude of the vector VbR (not the direction), and the direction of VbG but not the magnitude. The direction of VbG is given by the direction of vector that points from point A to point C. But, you have all the vector information for the direction of the water in the river, VRG. For these types of vector problems, you want to invoke the law of sines or the law of cosines because the 3 vectors in the Galilean velocity formula form a triangle. In this problem you have the lengths of two of the sides of the triangle and one angle. This is sufficient to get all the sides and all the angles using the law of sines and/or law of cosines north of west Submit Request Answen Part E Refer to part D. How long (t) will it take to cross the river? Hint: Once you have the velocity vector, VbG (both the magnitude and direction) from the previous part D, find the component "y" component (or the North-South component). The time is just the width of the river divided by the y component of velocity min Submit Request Answen Figure 1 of 1 Part F Refer to part D. What distance (d, as measured by an observer on the ground) do you travel? 400.0 m 30.0 mmin Submit Request Answen

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b) I(1, 0, 0), J(0, 1, 0), and K(0, 0, 1) 6, A helicopter takes off at a ground velocity of 150 km/h. It climbs at an angle of 48° toward the east. A 17-km/h wind is blowing from the south. Determine the resultant air and ground velocities. Include a diagram in your solution. The Eiffel Tower is 324 m tall. Denise is

I throw a ball to my dog at h = 1.8 m above the ground, with initial velocity v0 = 10.25 m/s at an angle θ = 31° above horizontal. Assume the ballencounters no air resistance, and use a Cartesian coordinate system with the origin located at the ball's initial position.a. My dog jumps up in the air and catches the ball at the same height that Ithrew it. Create an expression for the time, tf, the ball is in the air in terms of v0, θ, g, and h. b. Calculate the horizontal distance, d in meters, between me and my dog

A person swings from a trapeze, projects herself at angle of 53 degrees, and is supposed to be caught by person B, whose hands are 6.1m above and 8.2m horizontally from persob A's launch point.  a. What initial speed must Person A have just to reach person B? b. If person B misses person A completely as she flies past, how far horizontally does person A travel, from her initial launch point, before landing in the safety net 8.6m below her starting point? PROVIDE ILLISTRATION

Geese migrate along north and south directions for well over a thousand kilometers in some cases traveling speeds up to about 100 km/h. If one such bird is flying at 100km/h relative to the air but there is a 34.0 km/h wind blowing from the west to east. A.) at what angle relative to the north-south direction should this bird head so that it will be traveling directly southward relative to the ground? Express answer in degrees  b.) how long will it take the bird to cover a ground distance of 500 km from north to south? ( Note: Even on cloudy nights many birds navigate using the earth's magnetic field to fix the north-south direction)

An arrow is shot from a height of 1.75 m toward a cliff of height H. It is shot with a velocity of 32 m/s at an angle of 60° above the horizontal. It lands on the top edge of the cliff 3.65 s later.a. what is the maximum height reached by the arrow along its trajectory in meters?b. what is the arrows speed just before hitting the cliff in m/s?

Part A - A mortar positioned on the valley floor fires a shell that hits the top edge of a steep canyon. Initially the shell has a speed of 269 m/s and is shot at an angle of 65° above the horizontal. A soldier using a map determines the horizontal distance from the mortar to the canyon's edge is 2900 m. How high above the valley floor did the shell hit? ΑΣφ ? m Submit Request Answer

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An airplane is flying south at a speed Vi= 25m/s. It then accelerates in a direction 10 degrees north of east with magnitude a. After t seconds, the airplane's velocity is now pointing due east. What is the airplane's speed at this point? Please draw a tail to tip diagram of the problem.