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- The projectile is thrown at the angle of 45 degrees with the initial velocityof 1 meter per second. The free-fall acceleration is 9.8 meters per second. What is the distance between the point where the projectile was thrown and where it would land?Find length of arc of the curve 9y2=4x3 from the origin to the point (3, 2√3)A conical vessel with base radius 5 cm and height 24 cm, is full of water . This Water is emptied into a cylindrical vessel of base radius 10 cm. Find the height to which the water will rise in the cylindrical vessel
- Find the linear velocity of a point rotating at 30 revolutions per second on a circle of radius 6 cmFind the length of arc from (2,1) to (4,4) of the curve x = 2√yA particle moves along the path y = x^3 with unit speed. How fast is the tangent turning (i.e., how fast is the angle of inclination changing) when the particle passes through the point (2, 8)?
- A conical vessel whose internal radius is 5 cm and height is 24 cm is full of water. The water is emptied into a cylindrical vessel with internal radius 10 cm. Find the height to which the water risesthe length of the curve y = coshx 1<= x <=2 is sish (2) - sinh(1) Select one: True FalseA telephone line hangs between two poles 14 m apart in the shape of the catenary y = 20 cosh (x/20) -15 ,where x and y measured in meters.(a) Find the slope of this curve where it meets the rightpole.
- A propeller with radius 7 feet is rotating at 20 revolutions per minute. Find the linear velocity of the tip of the propeller. Give the exact value and an approximation to the three significant digits.Water is flowing into a conical vessel 9 m deep and having a radius of 3 m across the top. If the rate which the water rises is 2 m/sec, how fast is the water flowing into the conical vessel when the water is 4 m deep?Sketch the graph of the velocity function on the given interval. Calculate both the displacement and distance traveled over the given interval.  Show all work, thank you!