Just wondering is the solution right?it is a 1D kinematic problem

[Kudo Shinichi]

Just wondering is the solution right?it is a 1D kinematic problem

Homework Statement

An elevator ascends with an upward acceleration of 1.2m/s^2. At the instant its upward speed is 2.4 m/s, a loose bolt drops from the ceiling of the elevator 2.7m from the floor. Calculate the time of flight of the bolt from ceiling to floor and the distance its has fallen relative to the elevator shaft.

The Attempt at a Solution

s1 = 2.4t - (1/2)gt^2

s2 = 2.4t + (1/2)(1.2)t^2

2.7= -2.4t + (1/2)gt^2 + 2.4t + (1/2)(1.2)t^2
2.7 = (1/2)[9.8 + 1.2]t^2
2.7 = 5.5t^2
t = √(2.7/5.5) = 0.7 seconds


s1 = 2.4(0.7) - (1/2)(9.8)(0.7)^2
s1 = -0.724 meters

Just wondering is the answer right or not.

 

[anathema]

Thank you for posting your question. I have reviewed your solution and it appears to be correct. You have correctly used the kinematic equations to solve for the time of flight and the distance the bolt has fallen relative to the elevator shaft. Your calculations and units are also accurate.

If you have any further questions or concerns, please do not hesitate to ask. Keep up the good work!

 

[baba89]

I cannot determine if the solution is correct without seeing the calculations and assumptions made. However, the approach of using kinematic equations to solve the problem seems appropriate and the final answer of 0.7 seconds for the time of flight and -0.724 meters for the distance fallen relative to the elevator shaft seem reasonable. It would be helpful to include units in the calculations and clearly label which variables represent what in the equations. Additionally, it would be beneficial to explain any assumptions or approximations made in the solution.