QuestionMay 24, 2025

Alette is walking home from school when they realize they forgot thelf phone in a pouch.They were walking 0.5m/s but when they turn to run the other way, thelr velocity peaks at -3.2m/s It takes 30 seconds for them to reach their top speed. What is their acceleration in meters I second2 B B 0m/s2 A 30m/s2 A D -0.12min2 C ) -12m/s2

Alette is walking home from school when they realize they forgot thelf phone in a pouch.They were walking 0.5m/s but when they turn to run the other way, thelr velocity peaks at -3.2m/s It takes 30 seconds for them to reach their top speed. What is their acceleration in meters I second2 B B 0m/s2 A 30m/s2 A D -0.12min2 C ) -12m/s2
Alette is walking home from school when they realize they forgot thelf phone in a pouch.They were walking 0.5m/s but when they turn to run the other way, thelr velocity peaks at -3.2m/s It takes 30 seconds for them to reach their top speed. What is their acceleration in meters I second2 B B 0m/s2 A 30m/s2 A D -0.12min2 C ) -12m/s2

Solution
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Answer

-0.1233 \, \text{m/s}^2 Explanation 1. Identify initial and final velocities Initial velocity v_i = 0.5 \, \text{m/s}, final velocity v_f = -3.2 \, \text{m/s}. 2. Determine time duration Time taken to reach top speed is t = 30 \, \text{s}. 3. Apply acceleration formula Use the formula for acceleration: **a = \frac{v_f - v_i}{t}**. 4. Calculate acceleration Substitute values: a = \frac{-3.2 - 0.5}{30} = \frac{-3.7}{30} = -0.1233 \, \text{m/s}^2.

Explanation

1. Identify initial and final velocities<br /> Initial velocity $v_i = 0.5 \, \text{m/s}$, final velocity $v_f = -3.2 \, \text{m/s}$.<br /><br />2. Determine time duration<br /> Time taken to reach top speed is $t = 30 \, \text{s}$.<br /><br />3. Apply acceleration formula<br /> Use the formula for acceleration: **$a = \frac{v_f - v_i}{t}$**.<br /><br />4. Calculate acceleration<br /> Substitute values: $a = \frac{-3.2 - 0.5}{30} = \frac{-3.7}{30} = -0.1233 \, \text{m/s}^2$.
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