Suppose a fly orbits you (on the horizontal plane) with a constant orbital radius of 5 meters and subject to a time-varying (tangential) acceleration given by the expression a ( t ) =1+t with an initial speed of 2 m/s. Since the fly remains a constant distance away from you, you cannot use your flyswatter the way you would like to. Suppose that you can throw your flyswatter with an initial speed of 15 m/s in any direction you want. If you throw at t=0, how, exactly, should you throw your flyswatter to hit the fly? (Give both the angle above the horizontal to throw your flyswatter –and- at what angle ahead of the fly to throw it).

A projectile is shot directly away from Earth's surface. Neglect the rotation of the Earth. What multiple of Earth's radius RE gives the radial distance (from the Earth's center) the projectile reaches if (a) its initial speed is 0.325 of the escape speed from Earth and (b) its initial kinetic energy is 0.325 of the kinetic energy required to escape Earth? (Give your answers as unitless numbers.) (c) What is the least initial mechanical energy required at launch if the projectile is to escape Earth? (a) Number i (b) Number i (c) Number i Units Units Units ✪ î

Define the term Zero slope?

A soldier fires a round from a grenade launcher as his Humvee is moving up a 12° incline at VH = 31 m/s. He notes that at the moment he pulls the trigger, the vehicle has traveled d = 700 m from the base of the hill, and that his launcher is approximately 5 ft off the ground. The muzzle velocity of a grenade round is approximately v = 80 m/s. (figure not to scale) (a) Write equations of motion for the grenade (you should have two; one for x-position and one for y-position). Use a fixed frame of reference, with the origin located at the grenade's position at the moment it leaves the launcher. Your equations should be in terms of t and the launcher angle 82. (Hint: you will not need the launcher height or vehicle distance for this part.) d = 700 m 9,= 12° 8₂ Ⓒ € VH

Equations of Dependent Motion: Rectangular Coordinates Learning Goal: The blocks A and B shown are initially at rest and have masses of mA = 225 kg and mp 117 kg Neglect the mass of the rope and pulley system and assume block B moves only in the vertical direction, parallel to the y-axis. Neglect the effects of friction. (Figure 1) Figure C 99°F Sunny B 1 of 1 ‒‒ Part A - Acceleration of Block B If the blocks are released from rest, determine the magnitude of the acceleration of block B Express your answer to three significant figures and include the appropriate units. ►View Available Hint(s) aB = Submit Value Part B Acceleration of Block A QA 5 a Value If the blocks are released from rest, determine the magnitude of the acceleration of block A. Express your answer to three significant figures and include the appropriate units. View Available Hint(s) i Units Units ? ?

A hockey puck of mass 162 grams slides toward Brett with a velocity of -15 meters per second. Brett whacks the puck directly away from himself with his stick, applying force as shown on the graph below. His maximum force is 33 newtons, and each tic mark on the time axis represents 1/10th of a second. What is the final velocity of the puck? Include units in your answer. More information.

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