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A ball is kicked such that it leaves the ground at an upwards angle of 35° above the horizontal with an initial velocity of 17 ms

How far away does the ball hit the ground?


Ana and Kristoff had a romantic date in the jungle. Kristoff, in one tree, sights Ana in another tree. Trying to impress Ana, Kristoff grabs the end of a vine with a length of 20.3m that makes an angle of 45° with the vertical, steps off his tree limb, and swings down and then up to Ana's open arms. When he arrives, his vine makes an angle of 30° with the vertical. Determine whether he gives her a tender embrace or knocks her off her limb by calculating Kristoff's speed just before he reaches Ana. You can ignore air resistance and the mass of the vine.

Jamylla and Janylla are on a hike. Both hikers begin a trip by walking, the first leg A: 2.65 km, 140° from their base camp, on their second leg B: 4.77 km, 252° and to complete their final leg C: 3.18 km, 332°. What is the magnitude and direction of their final position from their base camp? Apply polygon method and component method and compare their results.

Three vehicles A,B and C are moving a long straight line in space in the same direction the objectives is for vehicle C to dock with vehicle B, if  east and  east how long is is it to docking if the vehicles B and C are 100,000 meter a parts.


A flywheel has a moment of inertia of 4.8 kg-m2 . What constant force is required to increase its



frequency from 3 rev/s to 6 rev/s in 7 revolutions?

A car of 700 kg moving with a velocity of 10 m/s. A motor bike of 120 kg




also moving with same speed in the same direction lying behind 10 meter




from the car. What is there collision velocity?(

Given: 𝐴 = 100𝑚, 30°𝑁𝑜𝑓𝐸; 𝐵⃑ = 80𝑚, 30°𝑊𝑜𝑓𝑁and𝐶 = 40𝑚, 55°𝑆𝑜𝑓𝑊

a. Plot the given vectors in the coordinate plane.

b. Calculate the components of vectors A, B and C. 

c. Write each vector in terms of the unit vectors.

d. Determine the resultant vector.

e. 𝐴 − 2𝐵⃑ + 𝐶 f. 𝐶 + 𝐴 − 𝐵⃑


In an attempt to deliver the parcel on time, the dispatch rider had to ride 10km 15 degrees SE, he then rode 11km 30 degrees NE and then takes a shortcut at 22km W. How many km did he ride NE and W combined?


A gold ball is given an initial speed of 20. meters per second and returns to level ground. Which launch angle above level ground results in the ball traveling the greatest horizontal distance?[Neglect friction]


an object travels in a circular orbit. If the speed of the object is halved, it's centripetal acceleration will be...


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