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horsena [70]
3 years ago
15

Over a time interval of 2.04 years, the velocity of a planet orbiting a distant star reverses direction, changing from +18.2 km/

s to -22.9 km/s. Find (a) the total change in the planet's velocity (in m/s) and (b) its average acceleration (in m/s2) during this interval. Include the correct algebraic sign with your answers to convey the directions of the velocity and the acceleration.
Physics
1 answer:
Marat540 [252]3 years ago
5 0

Explanation:

Initial speed of the planet, u = 18.2 km/s = 18200 m/s

Final speed of the planet, v = -22.9 km/s = -22900 m/s

Time interval, t = 2.04 years

Since, 1\ year =3.154\times 10^7\ s

Time interval, t=6.43\times 10^7\ s

(a) The total change in the planet's velocity is calculated as :

\Delta v=v-u

\Delta v=-22900-18200

\Delta v=-41100\ m/s

(b) Let a is the average acceleration of the planet. It can be calculated as :

a=\dfrac{v-u}{t}

a=\dfrac{-41100\ m/s}{6.43\times 10^7\ s}

a=-6.39\times 10^{-4}\ m/s^2

Hence, this is the required solution.

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