Question

1. calculate the acceleration of the ball for each time period that it falls.

a.
b.
c.
challenge yourself!

1. a jet flying at 200 m/s north accelerates at a rate of 18.2 m/s² for 15 seconds. what is the jets final velocity?

Explanation:

Step1: Calculate acceleration for period a

Using the formula \(a=\frac{\Delta v}{t}\), where \(\Delta v = 4.9 - 0=4.9\ m/s\) and \(t = 0.5\ s\)
\(a=\frac{4.9}{0.5}\)

Step2: Calculate acceleration for period b

\(\Delta v=12.25 - 4.9 = 7.35\ m/s\), \(t = 0.75\ s\)
\(a=\frac{7.35}{0.75}\)

Step3: Calculate acceleration for period c

\(\Delta v=31.85 - 12.25=19.6\ m/s\), \(t = 2\ s\)
\(a=\frac{19.6}{2}\)

Step4: Calculate final velocity for jet

Using the formula \(v = u+at\), where \(u = 200\ m/s\), \(a = 18.2\ m/s^{2}\), \(t = 15\ s\)
\(v=200+18.2\times15\)

Answer:

1.
a. \(9.8\ m/s^{2}\) downward
b. \(9.8\ m/s^{2}\) downward
c. \(9.8\ m/s^{2}\) downward

1. \(473\ m/s\) north