How Fast Does a Boulder Roll Downhill After a Tremor?

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The discussion focuses on calculating the velocity of a boulder rolling downhill after a tremor, utilizing the equation v2 = v1 + a x Δt. The initial velocity (v1) is set to 0 m/s, with a constant acceleration (a) of -5.2 m/s² over a time interval (Δt) of 5.0 seconds. The calculated final velocity (v2) is -26 m/s, confirming the correct application of the formula and sign convention for downward motion.

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Homework Statement



A slight Earth tremor causes a large boulder to break free and start rolling down the mountainside with a constant acceleration of 5.2 m/s^2. What is the boulder's velocity after 5.0s.

Homework Equations



I used: v2 = v1 + a x Δt

The Attempt at a Solution



v1 = 0 [because it started to break free]
a = -5.2m/s^2 [because of the sign convention down]
Δt = 5.0s
v2 = ? [because it is finding velocity after 5.0s]

ok it was v2 = 0 + (-5.2m/s^2)(5.0s)
v2 = -26 m/s

Am I correct or have a done a simple mistake that would impact my answer?
 
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