Question

a rocket starts at 0 m/s and accelerates to 231 m/s in 19 seconds. what is the rocket’s acceleration? answer: what are the units for your answer? select one: ○ meters ○ m/s² ○ m/s ○ seconds

Explanation:

First Sub - Question (Acceleration Calculation)

Step1: Recall acceleration formula

Acceleration \(a=\frac{v - u}{t}\), where \(u = 0\space m/s\) (initial velocity), \(v=231\space m/s\) (final velocity), \(t = 19\space s\) (time).

Step2: Substitute values into formula

\(a=\frac{231 - 0}{19}=\frac{231}{19}\approx12.16\)

Acceleration is the rate of change of velocity. Velocity has units of \(m/s\) and time has units of \(s\). So acceleration units are \(\frac{m/s}{s}=m/s^{2}\).

Answer:

\(12.16\space m/s^{2}\) (approximate value, exact value is \(\frac{231}{19}\space m/s^{2}\))

Second Sub - Question (Units of Acceleration)