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Explain the work of each problems A football is thrown vertically up in the air

ID: 2280517 • Letter: E

Question

Explain the work of each problems   A football is thrown vertically up in the air at 10 m/s. If it is later caught at the same spot it was thrown from, will the speed be greater than, less than, or the same as when it was thrown? Ignore air resistance.   i. Greater than   ii. Less than   iii. Same   An airplane starts out at the Tokyo Narita Airport ( x = 0) destined for Bangkok, Thailand ( x = 4603 km). After departing from the gate, the plane has to wait ten minutes on the runway before taking off. Whe n the plane is halfway to Bangkok, and cruising at its top speed, which of these is greater: instantaneous velocity, or average velocity since leaving the gate? i. Instantaneous velocity   ii. Average velocity   iii. They're the same   Explain the work of each problems   A football is thrown vertically up in the air at 10 m/s. If it is later caught at the same spot it was thrown from, will the speed be greater than, less than, or the same as when it was thrown? Ignore air resistance.   i. Greater than   ii. Less than   iii. Same   An airplane starts out at the Tokyo Narita Airport ( x = 0) destined for Bangkok, Thailand ( x = 4603 km). After departing from the gate, the plane has to wait ten minutes on the runway before taking off. Whe n the plane is halfway to Bangkok, and cruising at its top speed, which of these is greater: instantaneous velocity, or average velocity since leaving the gate? i. Instantaneous velocity   ii. Average velocity   iii. They're the same  

Explanation / Answer

Part 1)

The speed is the same. It will have the same magnitude from its initial throw up to its final location downward.

The velocity is different due to direction, but the speed is unchanged.


Part 2)

The instantaneous velocity is greater. The average is lower due to the fact that for 10 minutes it had zero velocity while waiting to take off. That zero portion lowers to overall average velocity. The instantaneous is what it is doing right now, and it says its at top speed. Top speed will be higher than an average that includes zero speed for 10 minutes.

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