4) A car is moving on a straight road with a uniform acceleration. Thefollowing table gives the speed of the car at various instant of time.Time(s) 0 10 20 30 40 50Speed (m/s) 5 10 15 20 25 30(i) Draw the shape of speed-time graph representing the above sets ofobservations.(ii) Find the acceleration of the car.
Question
- A car is moving on a straight road with a uniform acceleration. Thefollowing table gives the speed of the car at various instant of time.Time(s) 0 10 20 30 40 50Speed (m/s) 5 10 15 20 25 30(i) Draw the shape of speed-time graph representing the above sets ofobservations.(ii) Find the acceleration of the car.
Solution
(i) The speed-time graph for the given data would be a straight line. This is because the speed of the car is increasing uniformly with time. You start by plotting the time on the x-axis and the speed on the y-axis. Then, plot the points (0,5), (10,10), (20,15), (30,20), (40,25), and (50,30). Connect these points with a straight line.
(ii) The acceleration of the car can be found by calculating the slope of the speed-time graph. The slope of a graph is given by the change in the y-values divided by the change in the x-values. In this case, the y-values are the speeds and the x-values are the times.
So, the acceleration (a) can be calculated as:
a = (final speed - initial speed) / (final time - initial time)
For example, using the first and last points from the table:
a = (30 m/s - 5 m/s) / (50 s - 0 s) = 25 m/s / 50 s = 0.5 m/s²
So, the acceleration of the car is 0.5 m/s².
Similar Questions
A car is moving on a straight road with uniform acceleration. The following table gives the speed of the car at various instants of time :Speed (m/s) : 5 10 15 20 25 30Time (s) : 0 10 20 30 40 50The distance travelled by the car in 50 seconds.
A car driving along a road produces the distance-time graph below.Describe the motion of the car at the four marked points, with reference to its acceleration and speed.Write 3-4 sentences in your answer.
(b) Find the acceleration of the body. (c) Draw the shape of distance-time graph for this type of motion.
he following table gives the data about motion of a car.Time (h) 11.00 11.30 12.00 12.30 1.00Distance(km)0 30 30 65 100Plot the graph.(i) Find the speed of the car between 12.00 hours and 12.30 hours.(ii) What is the average speed of the car?(iii) Is the car’s motion an example of uniform motion? Justify
Cars A and B both start accelerating uniformly from rest at the same time. The acceleration of car A is 4 metres per second squared, and that of car B is 8 metres per second squared. Which of the following statements is incorrect?Both graphs will start from the origin (0, 0)The velocity-time graph for the motion of car B will be twice as steep as that of car AThe gradient of the velocity-time graph for the motion of car A will be half that of the velocity-time graph for car BIn a given period of time, car B will travel four times as far as car A
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.