A stone is thrown from a rooftop at time t=0 seconds. Its position at time t is given by r⃗ (t)=8ti−3tj+(24.5−4.9t^2)k. The origin is at the base of the building, which is standing on flat ground. Distance is measured in meters. The vector i points east, j points north, and k points up.

a) How high is the rooftop?

(b) When does the stone hit the ground?

(c) Where does the stone hit the ground? (in meters)

(d) How fast is the stone moving when it hits the ground?

Air enters a gas turbine with two stages of compression and two stages of expansion at 100 kpa and 17°c. this system uses a regenerator as well as reheating and intercooling – the intercooler returns the air to the inlet temperature. the pressure ratio across each compressor is 4 ; 300 kj/kg of heat are added to the air in each combustion chamber; and the regenerator operates perfectly while increasing the temperature of the cold air by 20°c. determine the system’s thermal efficiency. assume isentropic operations for all compressor and the turbine stages and use constant specific heats at room temperature. (0.378)

The built in flash in a compact camera is usally capable of giving correct exsposure for distance up to how many meters?

At what time would the magnitude of the velocity reach 36.00 km/hr