Problem 6 The water in a river flows East at a speed of 1.00 m/s, relative to the shore. Suppose you can row your boat at a speed of 4.00 m/s relative to the water. Your goal is to row directly from point A on the south shore to point B on the north shore of the river, without being carried upstream or downstream. B 25.0 m a) In what direction do you need to aim your boat? Give your answer as an angle West of North, measured in degrees.
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- A ball is thrown downward from the top of the building with a speed of 18.0 m/s at an angle of 30.0° to the horizontal. a) What are the horizontal and vertical components of the velocity the instant the ball is thrown? b) What are the horizontal and vertical components of the velocity 1.00 s after being thrown?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 ILLISTRATIONGeese 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 object undergoing projectile motion travels 2.50 x 10² m in the horizontal direction before returning to its initial height. Neglect any effects due to air resistance. If the object is thrown initially at a 30.0° angle from the horizontal, determine the x-component vix of the initial velocity. Ui.x = m/s determine the y-component v₁y of the initial velocity. Ui.y = DIL DD m/s Question Source: Freedman College Physics 3e | Publisher: MacmillanPart 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 AnswerA projectile is launched from ground level at a velocity of 28 m/s and an initial angle of 37 degrees. What is the projectile's velocity the instant before it hits the ground? Include a drawing and all steps. Use the projectile motion equations.
- A target lies a distance R = 1100 m from a cannon across level ground, and a distance d = 780 m behind a wall h = 400 m tall. If the cannon shoots projectiles with speed 160 m/s, at what angle should the cannon fire so as to hit the target over the wall?A projectile is launched at an elevated target with initial speed v0 = 220 m/s in the direction shown. Determine the time of flight and the range RLesson: Projectiles When there is air resistance present how to the velocity and acceleration vectors behave? O The acceleration vector is perpendicular to the trajectory and the velocity vector is at a tangent to it. O The acceleration changes throughout the flight with its x-component opposite the direction of motion. The velocity vector is at a tangent to the trajectory O The acceleration vector is constant and points straight down. The velocity vector is at a tangent to the trajectory O The acceleration and velocity vectors are both constant magnitude but continually change direction.
- 3. Penny drops a leaf into the water which runs east downstream. She measures the distance the leaf travels as 3.0 meters in 9.0 seconds. Penny then swims across the river, orienting herself perpendicular to the water, and lets the river current carry her downstream. She swims across the 57 m wide river in 47 seconds. a. Sketch the overall vectors of the velocities of the person to the water, the water to the ground and the person to the ground. Write the equation for the velocity of the person relative to the ground with the appropriate subscripts b. Determine the velocity of the water in the river relative to the ground. c. How far downstream will Olaf drift?" d. Determine the velocity of the person relative to the water (with direction) e. Determine the velocity of the person relative to the ground (with direction).You decide to walk from your home to your friend's house. He lives 164 meters away from you at an angle 59° South of East. What is the eastern component of your displacement? m What is the southern component of your displacement? m