Tangential and Radial Acceleration

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To compute the acceleration of a train slowing from 90.0 km/h to 50.0 km/h while rounding a curve with a radius of 150 m, both tangential and radial components of acceleration must be determined. The tangential acceleration is constant and can be calculated using kinematic equations, while the radial acceleration is dependent on the train's speed and the curve's radius. At the moment the train reaches 50.0 km/h, the tangential acceleration can be found by dividing the change in speed by the time taken to slow down. The radial acceleration is calculated using the formula for centripetal acceleration, which involves the speed at that moment and the radius of the curve. Understanding these components is essential for analyzing the train's motion during the turn.
CactuarEnigma
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A train slows down as it rounds a sharp horizontal turn, slowing from 90.0 km/h to 50.0 km/h in the 15.0 s that it takes to round the bend. The radius of the curve is 150 m. Compute the acceleration at the moment the train speed reaches 50.0 km/h. Assume it continues to slow down at this time at the same rate.

So if at = d|v| / dt, what is the function to evaluate? I think calculus fell out of my head over the summer. Thanks for your time.
 
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Calculus is not needed, if you are familiar with kinematics and centripetal acceleration. Find the tangential and radial components of the acceleration. The tangential component is uniform (figure it out using kinematics); the radial component depends on the speed and the radius.
 

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