A ball is thrown straight upward with a velocity
→
v
0 and in a time t reaches the top of its flight path, which is a displacement
→
y
above the launch point. With a launch velocity of 2
→
v
0, what would be the time required to reach the top of its flight path and what would be the displacement of the top point above the launch point? (a) 4t and 2
→
y
, (b) 2t and 4
→
y
, (c) 2t and 2
→
y
, (d) 4t and 4
→
y
, (e) t and 2
→
y
.

Determine the age of a fossil if it had only one eighth of its original carbon-14 content remaining?

Estimate the schwarzschild radius (in kilometers) for a mini-black hole formed when a superadvanced civilization decides to punish you (unfairly) by squeezing you until you become so small that you disappear inside your own event horizon. (assume that the your weight is 50 kg)

4r-134a enters the condenser of a residential heat pump at 800 kpa and 50°c at a rate of 0.022 kg/s and leaves at 750 kpa subcooled by 3°c. the refrigerant enters the compressor at 200 kpa superheated by 4°c determine (a) the isentropic efficiency of the compressor, (b) the rate of heat supplied to the heated room, and (c) the cop of the heat pump. also, determine (d) the cop and rate of heat supplied to the heated room if this heat pump operated on the ideal vapor-compression cycle between the pressure limits of 200 and 800 kpa. (0.757, 4.37 kw, 5.12, 6.18, 3.91 kw)