Question

A plane is cruising at 100 m/s when suddenly the pilot turnsthe engines up to full throttle. After traveling 2.0 km, the jet ismoving with a speed of 200 m/s. What is the jet’s acceleration asit speeds up?

Answer 1

Answer:

The acceleration of the jet when it speeds up = 7.5 m/s²

Explanation:

The initial speed, u = 100 m/s

Distance travelled, s = 2. km

s = 2 x 1000m

s = 2000 m

Final speed, v = 200 m/s

The acceleration is found by using the equation of motion below

$v^2=u^2+2as$

Substitute v = 200 m/s, u = 100 m/s, s = 2000 m

$\begin{gathered} 200^2=100^2+2\times a\times2000 \\ 40000=10000+4000a \\ 4000a=30000 \\ a=\frac{30000}{4000} \\ a=7.5m/s^2 \end{gathered}$

The acceleration of the jet when it speeds up = 7.5 m/s²