Answer:
Given:
Mass of elephant = 5240 kg
The initial speed of the elephant = 4.55 m/s
Mass of the rubber ball, m, = 0.15 kg
Inital speed of the rubber ball, v = 7.81 m/s
On substitution in
=
+ ![[\frac{m_{2}-m_{1}}{m_{1}+m_{2} } ] v_{2f}](https://tex.z-dn.net/?f=%5B%5Cfrac%7Bm_%7B2%7D-m_%7B1%7D%7D%7Bm_%7B1%7D%2Bm_%7B2%7D%20%20%7D%20%5D%20v_%7B2f%7D)
=
+ ![[\frac{0.15_{}-5240_{}}{5240_{}+0.15_{} } ] (7.81_{})](https://tex.z-dn.net/?f=%5B%5Cfrac%7B0.15_%7B%7D-5240_%7B%7D%7D%7B5240_%7B%7D%2B0.15_%7B%7D%20%20%7D%20%5D%20%287.81_%7B%7D%29)
a) The negatıve sign shows that the ball bounces back in the direction opposite to the incident
b) it is clear that the velocity of the ball increases and therefore it is kinetic energy
. The ball gains kinetic energy from the elephant.
Resonance occurs<span> when the amplitude of an object's oscillations are increased by the matching vibrations of another object.
Source: </span>Resonance: Definition & Transmission of Waves
The total distance traveled by the car at the given velocity and time is 900 m.
The given parameters:
- <em>initial velocity of the car, u = 20 m/s</em>
- <em>acceleration of the car, a = 12 m/s²</em>
- <em>time of motion of the car, t = 20 s</em>
- <em>final time = 30 s</em>
- <em>final acceleration = 2 m/s²</em>
The final time of motion of car before coming to rest is calculated as follows;

The graph of the car's motion is in the image uploaded.
The total distance traveled by the car is calculated as follows;

Thus, the total distance traveled by the car at the given velocity and time is 900 m.
Learn more about velocity-time graph here: brainly.com/question/24874645