How Long Does It Take a Diver to Reach Maximum Height?

Also, note that the time to reach the max height will be the same as the time to return to the initial height. In summary, to find the time to reach the max height of 0.870m, use the equation Vf=Vi + gt and solve for t, where Vi is the initial velocity and g is the acceleration due to gravity. The angle of 85 degrees can be used to find the initial velocity using trigonometric functions.
  • #1
jannx3
6
0

Homework Statement



find time to reach max height
max height is 0.870m
mass of diver is 70kg
makes an angle when diving of 85 degrees

Homework Equations



Vf=Vi + gt


The Attempt at a Solution


Vi=0
Vf=gt
t=vf/g
= 0.870/9.8

not sure if this the right approach
 
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  • #2
When somebody is "diving", the direction is generally downward. One cannot reach a max height moving downward. State the problem correctly and fully, it is in your interest to eliminate any guesswork for us.
 
  • #3
so when the person is diving from a diving board, it jumps upward before diving downwards into the water
 
  • #4
So in fact the question is about jumping, not diving?

Then, when you say "makes an angle" - makes an angle WITH WHAT?
 
  • #5
so I am assuming the height of the diver? which is 1m , there's all the information given
 
  • #6
OK, assuming the angle is with the vertical.

In your attempt, why does ##v_i = 0##? Surely when somebody jumps, they have a non-zero velocity initially?
 

FAQ: How Long Does It Take a Diver to Reach Maximum Height?

1. How is "time to reach maximum height" calculated?

The time to reach maximum height is calculated using the formula t = √(2h/g), where t represents time, h represents the initial height, and g represents the acceleration due to gravity. This formula assumes that there is no air resistance.

2. Does the mass of the object affect the "time to reach maximum height"?

No, the mass of the object does not affect the "time to reach maximum height". This is because the equation for time only takes into account the initial height and the acceleration due to gravity, both of which are independent of the mass.

3. Is "time to reach maximum height" the same for all objects?

No, the "time to reach maximum height" can vary for different objects. This is because the initial height and acceleration due to gravity can be different for each object. For example, a heavier object will experience a greater force due to gravity, resulting in a shorter time to reach maximum height.

4. How can air resistance affect the "time to reach maximum height"?

Air resistance can affect the "time to reach maximum height" by slowing down the object's ascent. This is because air resistance creates a force that opposes the object's motion, causing it to decelerate. This can result in a longer time to reach maximum height compared to an object in a vacuum.

5. Can the "time to reach maximum height" be greater than the "time of flight"?

Yes, the "time to reach maximum height" can be greater than the "time of flight" if there is air resistance. This is because air resistance can cause the object to spend more time in the upward phase of its trajectory, resulting in a longer time to reach maximum height. However, in a vacuum, the "time to reach maximum height" and the "time of flight" will be the same.

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