Bus Speed Needed to Coast to Top of 0.88m Hill - Homework Solution

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In summary, the formula for calculating the bus speed needed to coast to the top of a 0.88m hill is speed = √(2 x gravity x height), and the units of measurement for the bus speed are meters per second (m/s). This calculation is significant for ensuring safety and efficiency for the bus, and can also be applied to other vehicles. Other factors such as weight, friction, and external forces may affect the bus speed, but are not considered for a simple calculation using this formula.
  • #1
Kajayacht
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Homework Statement


A bus runs out of fuel as it approaches a hill. If the hill is 0.88 m high, how fast must the bus be traveling in order to coast just to the top of the hill?


Homework Equations


?


The Attempt at a Solution


I'm so stuck and it's drving me crazy can someone please give me a hint or something
 
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  • #2
Use conservation of energy. Does that help?
 
  • #3
Wouldn't I need to know the mass to use conservation of energy though?
 
  • #4
nevermind got it
k1+u1+Wnc = k2 + u2
.5mv^2 + 0 + 0 = 0 + mgy
v^2= mgy/.5m
v^2= gy/.5
v= 4.15 m/s
 

FAQ: Bus Speed Needed to Coast to Top of 0.88m Hill - Homework Solution

What is the formula for calculating the bus speed needed to coast to the top of a 0.88m hill?

The formula for calculating the bus speed needed to coast to the top of a 0.88m hill is speed = √(2 x gravity x height), where gravity is 9.8 m/s^2 and height is 0.88m.

What is the significance of calculating the bus speed for coasting to the top of a hill?

Calculating the bus speed needed to coast to the top of a hill is important for ensuring the safety and efficiency of the bus. By knowing the necessary speed, the driver can adjust their speed accordingly to avoid any accidents or engine strain. It also helps in planning routes and schedules for buses.

What are the units of measurement for the bus speed in this calculation?

The units of measurement for the bus speed in this calculation are meters per second (m/s). This is a standard unit for measuring speed and is commonly used in scientific calculations.

Can this formula be applied to other vehicles besides buses?

Yes, this formula can be applied to other vehicles besides buses. It is a basic physics formula that can be used to calculate the speed needed for any object to coast to the top of a hill, as long as the values for gravity and height are known.

Are there any other factors that may affect the bus speed needed to coast to the top of a hill?

Yes, there are other factors that may affect the bus speed needed to coast to the top of a hill. These include the weight of the bus, the friction on the road, and any external forces such as wind resistance. However, for a simple calculation, these factors are not considered and the formula provides an approximate speed needed.

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