The following table gives the data about motion of a car. Time (h) :1.00h 1.30h 2.00h 2.30h 3.00h Distance (km) :0km 30km 30km 65km 100km (i) Plot the graph. (ii) Find the speed of the car between 2.00 hours and 2.30 hours.
Answers
The data for this question should be as follows:
Time in hours: 11.00 11.30 12.00 12.30 1.00
Distance in Km : 0 30 30 65 100
i) The speed of the car at 12:00 hours and 12:30 hours
Speed = distance traveled / time taken
Distance traveled = 65 - 30 = 35 kilometers
Time taken = 12:30 hours - 12:00 hours = 30 minutes = 0.5 hours
Therefore the speed = 35 km / 0.5 hours = 350/5 = 70 km/hr
∴ The speed of the vehicle between 12:00 hours and 12:30 hours is 70km/hr
ii) Is the speed of the car an example of uniform speed?
A body is said to have a uniform speed when its speed remain constant, that is, not changed over the course of its movement. This means that the body covers same distance over equal intervals of time.
In the data above, it is clear that the car covers varied lengths of distances over the 30 minutes interval. This therefore means that the vehicle does not have a uniform speed.
Given : the data about motion of a car.
Time (h) :1.00h 1.30h 2.00h 2.30h 3.00h Distance (km) :0km 30km 30km 65km 100km
To Find : Plot the graph.
speed of the car between 2.00 hours and 2.30 hours.
average speed of the car
Solution:
Time Distance
hr km
1 :00 0
1:30 30
2:00 30
2:30 65
3:00 100
Plot time on x axis and distance on y axis.
speed of the car between 2.00 hours and 2.30 hours = (65 - 30)/(0.5)
= 70 km/hr
Average speed = ( 100 - 0)/ ( 3 - 1) = 100/2 = 50 km/hr
car’s motion is not uniform as distance covered in equal interval of time is not equal
Learn More:
A car starts from rest and travels for 30 minutes at 50 km per hour it ...
brainly.in/question/13820843
A towns A and B are 80km apart.A cyclist starts from A at 8 am and ...
brainly.in/question/15166749
