Solving Acceleration Problem: Find m/s^2 & Seconds

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To solve the problem of a plane landing on an aircraft carrier, the initial speed of 10 km/hr converts to approximately 2.78 m/s. The acceleration can be found using kinematic equations, taking into account the distance of 25 meters and the final velocity of 0 m/s. The correct approach involves using the equation that relates initial velocity, final velocity, acceleration, and distance. The initial attempt was incorrect due to a miscalculation in the initial speed and confusion between distance, speed, and acceleration. Proper application of kinematic equations will yield the correct acceleration and time to stop.
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1. A plane traveling at 10km/hr lands on an aircraft carrier and stops in 25.0m
A. Find the acceleration in m/s^2
B. Find the time it took to stop in seconds




Homework Equations


1km/hr = .278 m/s


The Attempt at a Solution


100(.278)= 27.8 m/s
A. 25-27.8 = 2.8 m/s
B. 8.92 seconds (25/2.8)

Is this anywhere near correct? something seems wrong.
 
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bwilhelm said:
1. A plane traveling at 10km/hr lands on an aircraft carrier and stops in 25.0m
A. Find the acceleration in m/s^2
B. Find the time it took to stop in seconds




Homework Equations


1km/hr = .278 m/s


The Attempt at a Solution


100(.278)= 27.8 m/s
A. 25-27.8 = 2.8 m/s
B. 8.92 seconds (25/2.8)

Is this anywhere near correct? something seems wrong.

When you converted to m/s you used 100km/h instead of 10km/h.

I don't understand how you did part A and B... seems like you're mixing up distance, speed and acceleration.

Remember the plane is undergoing a constant deceleration (or a negative acceleration) and coming to a stop over 25m.

Part A and B involve direct use of kinematics equations... you should have studied these... Can you think of a kinematics equation you can apply in part A? You're trying to find acceleration... you know the distance, the initial velocity, and the final velocity. There's an equation you can use.
 
Not near correct. 27.8 m/s is ok, though. Consider using kinematic equations like x(t)=x0+v0*t+(1/2)*a*t^2 and v(t)=v0+a*t. Can you start the problem?
 
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