alleryStart learning →A dragster accelerates from rest at 26.0 m/s^2 over a quarter mile (402 m). What is its final velocity?
A10.4 m/s
B72.4 m/s
C102 m/s
D145 m/s
Answer & Solution
Correct answer: D. 145 m/s
1. Since time is unknown, use v^2 = v_0^2 + 2a(d - d_0) with v_0 = 0.
2. v^2 = 2(26.0 m/s^2)(402 m) = 20,904 m^2/s^2.
3. v = square root of 20,904 = 145 m/s.
_Source: OpenStax Physics (CC BY 4.0), Ch 3 "Acceleration", section 3.2 Representing Acceleration with Equations and Graphs_
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