A frat boy throws a ping pong ball from 0.6 m above a table at 5 m/s and wants to land it in a 20 cm cup 1 m away along the table. At what angle above the horizontal should he throw it?

A guy flying a 208km/h constant horizontally in a low-flying helicopter, wants to drop secret documents into her contact’s open car which is traveling 156km/h on a level highway 78.0 m below. At what angle (with the horizontal) should the car be in her sights when the packet is released?

A golf ball is hit at an angle of 40° above horizontal with a speed of 55 m/s. (a) How high does it rise, (b) how long is it in the air, and (c) how far does it travel horizontally? Express your answer in (a) meters, (b) seconds, and (c) meters.

Problem 12: A jet airplane flying from Darwin. Australia, has an air speed of 270 m/s in a direction 5.0° south of west. It is in the jet stream, which is blowing at 33 m/s in a direction 15° south of east. In this problem you are going to be asked about the velocity of the airplane relative to the Earth. 50% Part (a) What is the magnitude of the velocity of the airplane relative to the Earth in m/s? VPG

A plane is flying horizontally at an altitude of 600 meters at a constant speed of 210 m/sec. The pilot wants to drop a package of food and water to people trapped in a war zone. How far in front of the people should the pilot release the package? Ignore air resistance. Answer to 3 sig figs. 06)

A projectile is shot from a cannon. The fixed parameters are the acceleration of gravity, g = 9.8 m/sec4, and the muzzle velocity, vo = 500 m/sec, at which the projectile leaves the cannon. The angle 0, in degrees, between the muzzle of the cannon and the ground can vary. The range of the projectile is = 25,510 sin 90 meters. 90 f(e) = sin (a) Find the range with 0 = 10". Round your answer to the nearest whole number. Range = i meters eTextbook and Media (b) Find a linear function of 0that approximates the range for angles near 10°. Specifically, fill in the missing numbers below for the local linearization of f at e = 10. Round your answers to the nearest whole number. f(e) i i - (0 – 10) meters eTextbook and Media (c) Find (1) the range and (ii) its approximation from part (b) for 11". Round your answers to the nearest whole number. (i) Range i meters. (ii) Approximate Range meters.

He was skiing off a slope inclined at theta = 26.7 degrees below horizontal at a speed of v0=22 m/s. He must clear a gorge and slope on the other side at height h = 14.7 meters below the edge of the higher slope.   How do you determine the maximum width of the gorge (in meters) so that he clears it?

Consider a projectile launched at a height h feet above the ground and at an angle 0 with the horizontal. If the initial velocity is v, feet per second, the path of the projectile is modeled by the parametric equations x = t(vo cos(0)) and y = h + (vo sin 0)t - 16t2. A rectangular equation for the path of this projectile is y = 7 + x - 0.008x². (a) Eliminating the parameter t from the position function for the motion of a projectile to shows that the rectangular equation is as follows. -16 (sec(0))2 y = x² + tan(0)x + h Vo (b) Find h, vo, and 0. (Round your answers to two decimal places.) Vo %3D (c) Use a graphing utility to graph the rectangular equation for the path of the projectile. Confirm your answer in part (b) by sketching the curve represented by the parametric equations. 60 50 40 30 20 50 100 150 10 50 100 150 60 50 60 50 40 40 30 30 20 10 50 100 150 10 20 40 60 80 (d) Use a graphing utility to approximate the maximum height of the projectile. (Round your answers to two…

An archer fish spies a meal of a grasshopper sitting on a long stalk of grass at the edge of the pond in which he is swimming. The fish is to successfully spit at and strike the grasshopper, which is 0.200 m away horizontally and 0.395 m above his mouth. A) What angle (in degrees) above the horizontal must he spit? (In degrees)