An engineer designs a roller coaster so that a car travels horizontally for 152 ft, then climbs 117 ft at an angle of 32.0° above the horizontal. it then moves 117 ft at an angle of 47.0° below the horizontal. if we take the initial horizontal motion of the car to be along the x-axis, what is the car's displacement?

When a 5.0kg cart undergoes a 2.2m/s increase in speed, what is the impulse of the cart

Select light for the type of wave, adjust the wavelength so that the light is red, and increase the amplitude of the light to the max. then, select the start button at the source location to begin producing the waves. light is a form of electromagnetic wave, containing oscillating electric and magnetic fields. the wave amplitude detector mentioned above shows how the electric field oscillates in time at the location of the probe. the amplitude of the wave at the location of the probe is equal to the maximum electric field measured. how does the amplitude of the wave depend on the distance from the source?

On a mild saturday morning while people are working inside, the furnace keeps the temperature inside the building at 23degreesc. at noon the furnace is turned off, and the people go home. the temperature outside is a constant 16degreesc for the rest of the afternoon. if the time constant for the building is 3 hr, when will the temperature inside the building reach 18degreesc? if some windows are left open and the time constant drops to 2 hr, when will the temperature inside reach 18degreesc?