The speed-time graph for a car is shown in Fig. below
(a) Find how far does the car travel in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.
(b) Which part of the graph represents uniform motion of the car?

Question

The speed-time graph for a car is shown in Fig. below
(a) Find how far does the car travel in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.
(b) Which part of the graph represents uniform motion of the car?

KnowledgeBoat · Accepted Answer

(a) Distance travelled by the car in the first 4 seconds = area under the slope of the speed-time graph. To find this area, we will use the square counting method. On time axis (i.e., x axis) : 5 squares = 2 units ∴ 1 square = units On speed axis (i.e., y axis) : 3 squares = 2 units ∴ 1 square = units  Area of each square = x = sq units. We have fully filled squares, more than half filled squares, half filled squares and less than half filled squares in this area. Area of fully filled square = Area of 1 square = sq units Area of more than half filled square = Area of 1 square = sq units Area of half filled square = x Area of 1 square = = sq units Area of less than half filled square = 0  No. of fully filled squares = 56 [Marked in graph with 'F'] Area of fully filled squares = 56 x = 14.93 sq units No. of more than half filled squares = 4 [Marked in graph with 'M'] Area of more than half filled squares = 4 x = 1.06 sq units No. of half filled squares = 3 [Marked in graph with 'H'] Area of half filled squares = 3 x = 0.8 sq units No. of less than half filled squares = 4 [Marked in graph with 'L'] Area of less than half filled squares = 4 x 0 = 0 sq units ∴ Total Area = 14.93 + 1.06 + 0.4 = 16.39 sq units ∴ Total distance covered in first 4 seconds = Area under speed-time graph = 16.4 m Hence, the car travels 16.4 m in first 4 seconds (b) From graph, the speed of the car does not change from the points (x = 6) to (x = 10). Hence, the car is said to be in uniform motion from the 6th to the 10th second.

Science

The speed-time graph for a car is shown in Fig. below
(a) Find how far does the car travel in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.
(b) Which part of the graph represents uniform motion of the car?

Motion in One Dimension

Related Questions

A ball is gently dropped from a height of 20 m. If its velocity increases uniformly at the rate of 10 ms^-2, with what velocity will it strike the ground? After what time will it strike the ground?

An artificial satellite is moving in a circular orbit of radius 42250 km. Calculate its speed if it takes 24 hours to revolve around the earth.

Science

The speed-time graph for a car is shown in Fig. below(a) Find how far does the car travel in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.(b) Which part of the graph represents uniform motion of the car?

Motion in One Dimension

Related Questions

A ball is gently dropped from a height of 20 m. If its velocity increases uniformly at the rate of 10 ms-2, with what velocity will it strike the ground? After what time will it strike the ground?

An artificial satellite is moving in a circular orbit of radius 42250 km. Calculate its speed if it takes 24 hours to revolve around the earth.

The speed-time graph for a car is shown in Fig. below
(a) Find how far does the car travel in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during the period.
(b) Which part of the graph represents uniform motion of the car?

A ball is gently dropped from a height of 20 m. If its velocity increases uniformly at the rate of 10 ms^-2, with what velocity will it strike the ground? After what time will it strike the ground?