Question

Tannis's first machine could throw a car 272727 meters. She studied her first machine and built a better one. Her second machine could throw a car 777 times as far.
How far does the second machine throw a car?

Answer 1

Answer:

The rate of change of the distance between the cars at that instant is 5.46 meters per second

Step-by-step explanation:

Speed of first car = 7 m/s

Speed of second car = 3 m/s

At instant, distance of first car from intersection = 5 meters

distance of second car from intersection = 12 meters

Therefore, we have

Distance between both cars at intant = √(12² + 5²) = 13 m

Rate of change of distance is given by;

2ddd/dt = d(x² + y²)/dt = 2xdx/dt + 2ydy/dt

= 26dd/dt = 2×5×7 + 2×12×3 = 142

dd/dt = 142/26 = 5.46 m/s.

That is the rate of change of the distance between the cars at that instant = 5.46 meters per second.