A moth of length 1.0 cm is flying about 1.0 m from a bat when the bat emits a sound wave at 80.0 kHz. The temperature of air is about 10.0∘C. To sense the presence of the moth using echolocation, the bat must emit a sound with a wavelength equal to or less than the length of the insect. The speed of sound that propagates in an ideal gas is given by v=γRTM−−−−√, where γ is the ratio of heat capacities (γ=1.4 for air), T is the absolute temperature in kelvins (which is equal to the Celsius temperature plus 273.15∘C), M is the molar mass of the gas (for air, the average molar mass is M=28.8×10−3kg/mol), and R is the universal gas constant (R=8.314J⋅mol−1⋅K−1).

Find the wavelength λ of the 80.0-kHz wave emitted by the bat.

Express your answer in millimeters.

How long after the bat emits the wave will it hear the echo from the moth?

Express your answer in milliseconds to two significant figures.

Where is the potential energy throughout the loading, cocking, and releasing of the trebuchet?

Will mark as brainliest how does a catapult increase the trajectory of an object? ps. answer as if u were a 5th grader

You are in a car that is traveling along highway 99 at a constant speed of 16 m/s. suddenly you see a truck also traveling at a constant speed (3.0 m/s) that is on a track to cross your lane from an alley on the right and is moving into your lane (which you can’t get out of, because of broader safety concerns like head on traffic in the other lane). your car’s maximum acceleration is 6.0 m/s2 (either way, gettingfaster or slower) and your reaction time of 0.75 s between first seeing the truck and applying the brake or the accelerator. the distance from the side street, where you first notice the truck, to the right edge of your lane is 2.0 m and the lane also has a fixed width of 4.0m, check for yourself that all these numbers are reasonable. you will assume a reasonable size for your car. the truck is 3.0 m wide.a) how long will it take the truck from the moment you notice it, to block enough of your lane so you can’t slip past while also staying in your own lane (in seconds)? b) how far will your car travel (in meters) while your brain is figuring out what to do? c) if you decide that braking is in your best interests how long will it take you to come to a complete stop once you begin the process of braking (in s)? d) what is the minimum distance (in m) you must be from the truck to successfully stop before hitting