QuestionJuly 23, 2025

A car traveling 35.0m/s starts to accelerate at 3.00m/s^2 How far does this car travel after 400 seconds? 129 m 164 m 176 m 212 m

A car traveling 35.0m/s starts to accelerate at 3.00m/s^2 How far does this car travel after 400 seconds? 129 m 164 m 176 m 212 m
A car traveling 35.0m/s starts to accelerate at 3.00m/s^2 How far does this car travel after 400 seconds?
129 m
164 m
176 m
212 m

Solution
4.4(256 votes)

Answer

254000 m Explanation 1. Identify the formula Use the formula for distance under constant acceleration: d = v_i \cdot t + \frac{1}{2} a \cdot t^2. 2. Substitute values Initial velocity v_i = 35.0 \, m/s, acceleration a = 3.00 \, m/s^2, time t = 400 \, s. 3. Calculate the distance d = 35.0 \cdot 400 + \frac{1}{2} \cdot 3.00 \cdot 400^2 = 14000 + 240000 = 254000 \, m.

Explanation

1. Identify the formula<br /> Use the formula for distance under constant acceleration: $d = v_i \cdot t + \frac{1}{2} a \cdot t^2$.<br />2. Substitute values<br /> Initial velocity $v_i = 35.0 \, m/s$, acceleration $a = 3.00 \, m/s^2$, time $t = 400 \, s$.<br />3. Calculate the distance<br /> $d = 35.0 \cdot 400 + \frac{1}{2} \cdot 3.00 \cdot 400^2 = 14000 + 240000 = 254000 \, m$.
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