A train starts from rest and travels for 5.0 s with a uniform acceleration of 1.5 m/s 2. How far does the train travel in this time interval?
You can use the equation \(\sf s=0.5 \times a \times t^2\) to find out the traveled distance. s= distance traveled a = acceleration t = time
Welcome to OpenStudy. I encourage you to establish a dialogue with whomever else wants to help you. Ask questions as appropriate. Supposing that acceleration (a) is constant, then the formula for velocity is \[v(t)=v _{0}+at\]
The initial velocity here is zero. See why? Set v_0 equal to zero. What does your formula for v(t) look like now? Through various methods, one can obtain a related formula for the distance traveled:\[s=s _{0}+v _{0}t+\frac{ 1 }{ 2 }t^2\]
compare this to abhisar's suggested formula, remembering that the initial position can be assumed to be zero, as can the initial velocity. Please show y our work if you'd like to receive feedback.
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