Answer: It is the 3rd option. But I am not sure if it is correct- pls tell me back if the answer was correct!
Answer:
a) 27 m/s
b) 30 m/s
c) i) 3
ii) Deceleration
Step-by-step explanation:
The question is not complete, the correct question is given as:
The graph shows information about the speed of a vehicle during the final 50 seconds of a journey. At the start of the 50 seconds the speed is k metres per second. The distance travelled during the 50 seconds is 1.35 kilometres.
(a) Work out the average speed of the vehicle during the 50 seconds
(b) Work out the value of k.
(c) (i) Calculate the gradient of the graph in the final 10 seconds of the journey
(ii) Describe what this gradient represents
Answer:
The graph is attached. The total time = 50 seconds, total distance = 1.35 km = 1350 m
a) The average speed is the ratio of the total distance traveled to the total time taken to cover this distance. The average speed is given by the formula:
![Average \ speed=\frac{total\ distance}{total\ time}\\ Substituting: \\ Average \ speed=\frac{1350\ m}{50\ s} = 27\ m/s](https://tex.z-dn.net/?f=Average%20%5C%20speed%3D%5Cfrac%7Btotal%5C%20distance%7D%7Btotal%5C%20time%7D%5C%5C%20Substituting%3A%20%5C%5C%20Average%20%5C%20speed%3D%5Cfrac%7B1350%5C%20m%7D%7B50%5C%20s%7D%20%3D%2027%5C%20m%2Fs)
b) From the graph, the total distance covered is the area of the graph. The graph is made up of a rectangle and triangle, the area of the graph is equal to the sum of area of rectangle and area of triangle.
c) i) The gradient in the last 10 seconds is the ratio of change in speed to change in time
![Gradient=\frac{change\ in\ speed }{change\ in\ time}=\frac{0-k}{50-40} \\ bt \ k=30\\Gradient=\frac{0-30}{50-40}= \frac{-30}{10} =-3](https://tex.z-dn.net/?f=Gradient%3D%5Cfrac%7Bchange%5C%20in%5C%20speed%20%7D%7Bchange%5C%20in%5C%20time%7D%3D%5Cfrac%7B0-k%7D%7B50-40%7D%20%20%5C%5C%20bt%20%5C%20k%3D30%5C%5CGradient%3D%5Cfrac%7B0-30%7D%7B50-40%7D%3D%20%5Cfrac%7B-30%7D%7B10%7D%20%3D-3)
ii) Since the gradient is negative it means it is deceleration. That is in the in the last 10 seconds the vehicle decelerates at a rate of 3 m/s²
Choice A. 75%. 1\4 is equal to 25%. 2\4 is equal to 50%. 3\4 is equal to 75%. 4/4 is equal to 100%
Answer:7 2/35
Step-by-step explanation:
This is because of pemdas parenthesis exponents multiplication division addition and subtraction
Answer:
1) First, add or subtract both sides of the linear equation by the same number. 2) Secondly, multiply or divide both sides of the linear equation by the same number. 3)* Instead of step #2, always multiply both sides of the equation by the reciprocal of the coefficient of the variable.
Step-by-step explanation: