A bag contains 20 candies: 9 pink candies, 8 red candies, and the rest green candies. Without looking, Sarah pulls out a piece o
1 answer:
You might be interested in
Answer:
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Step-by-step explanation:
Given that,
A person stand 10 meters east of an intersection and watches a car driving towards the intersection from the north at 13 m/s.
From Pythagorean Theorem,
(The distance between car and person)²= (The distance of the car from intersection)²+ (The distance of the person from intersection)²+
Assume that the distance of the car from the intersection and from the person be x and y at any time t respectively.
∴y²= x²+10²
Differentiating with respect to t
Since the car driving towards the intersection at 13 m/s.
so,
Now
= -12 m/s
Negative sign denotes the distance between the car and the person decrease.
Therefore the rate change of distance between the car and the person at the instant, the car is 24 m from the intersection is 12 m/s.
Answer:
It takes <em>10 minutes</em> to the park.
Step-by-step explanation:
Given that:
Time taken = 6 minutes
Distance left to be traveled = 40%
To find:
The equation to represent the distance , that still needs to be traveled after
minutes.
Solution:
As per given statement, distance traveled in 6 minutes = 60%
We can say that:
Distance traveled each minute = = 10%
After 1 minute, distance traveled = 10%
Distance left = 100 - 10 = 90%
After 2 minutes, distance traveled = 20%
Distance left = 100 - 20 = 80%
After minutes, distance traveled = 10
%
Distance left, = (100 - 10
)%
Therefore, the equation is:
Time taken by the bike to reach to the park can be found by putting = 0 (i.e. distance left to be traveled = 0)