Questions: UAM Acceleration Problems Always show your work ... and don't forget units 1. An object starts at an initial velocity of +6.0 m / s and accelerates at a rate of +3.0 m / s / s for 4 seconds. a) Fill out the data table to the right, showing the instantaneous velocity for each second. b) Complete a numerically accurate (quantitative) instantaneous velocity vs. clock reading graph. c) Recalling that displacement is the area under the V vs. t graph, calculate the displacement of the object during the 4 seconds of elapsed time. Clearly show your calculations units. d) A student wants to calculate displacement by using d=vt=(6 m / s)(4 s). What's wrong with this approach? Clock Reading (s) Velocity (m / s) 0 +6.0 m / s 1 +4.0 m / s 2 +12.0 m / s 3 +15.0 m / s 4 +18.0 m / s 2. A car initially moving at +10.0 m / s constantly accelerates at a rate of -2.0 m / s^2 until it stops. a) Fill out the data table to the right to determine how much time it will take the car to stop. b) Complete a quantitative instantaneous velocity vs. clock reading graph. c) Use the graph to determine the displacement of the object during the entire motion. Show your calculations units. d) Determine the displacement during each second individually. Check to see that all of these sum up to the total displacement calculated in c ). 0-1 sec 1-2 sec 2-3 sec 3-4 sec 4-5 sec 0-5 sec

Transcript text: UAM Acceleration Problems Always show your work ... and don't forget units 1. An object starts at an initial velocity of $+6.0 \mathrm{~m} / \mathrm{s}$ and accelerates at a rate of $+3.0 \mathrm{~m} / \mathrm{s} / \mathrm{s}$ for 4 seconds. a) Fill out the data table to the right, showing the instantaneous velocity for each second. b) Complete a numerically accurate (quantitative) instantaneous velocity vs. clock reading graph. c) Recalling that displacement is the area under the V vs. t graph, calculate the displacement of the object during the 4 seconds of elapsed time. Clearly show your calculations \& units. d) A student wants to calculate displacement by using $\mathrm{d}=\mathrm{vt}=(6 \mathrm{~m} / \mathrm{s})(4 \mathrm{~s})$. What's wrong with this approach? \begin{tabular}{c|l} Clock Reading (s) & Velocity $(\mathrm{m} / \mathrm{s})$ \\ \hline 0 & $+6.0 \mathrm{~m} / \mathrm{s}$ \\ 1 & $+4.0 \mathrm{~m} / \mathrm{s}$ \\ 2 & $+12.0 \mathrm{~m} / \mathrm{s}$ \\ 3 & $+15.0 \mathrm{~m} / \mathrm{s}$ \\ 4 & $+18.0 \mathrm{~m} / \mathrm{s}$ \end{tabular} 2. A car initially moving at $+10.0 \mathrm{~m} / \mathrm{s}$ constantly accelerates at a rate of $-2.0 \mathrm{~m} / \mathrm{s}^{2}$ until it stops. a) Fill out the data table to the right to determine how much time it will take the car to stop. b) Complete a quantitative instantaneous velocity vs. clock reading graph. c) Use the graph to determine the displacement of the object during the entire motion. Show your calculations \& units. d) Determine the displacement during each second individually. Check to see that all of these sum up to the total displacement calculated in c ). \begin{tabular}{|l|l|l|l|l|l|} \hline $0-1 \mathrm{sec}$ & $1-2 \mathrm{sec}$ & $2-3 \mathrm{sec}$ & $3-4 \mathrm{sec}$ & $4-5 \mathrm{sec}$ & $0-5 \mathrm{sec}$ \\ \hline & & & & & \\ \hline \end{tabular}