Advertisements
Advertisements
प्रश्न
Draw a velocity-time graph for a body moving with an initial velocity u and uniform acceleration a. Use this graph to find the distance travelled by the body in time t.
Advertisements
उत्तर
In this graph, initial velocity = u
Velocity at time t = v
Let acceleration be 'a'
Time = t
Then, distance travelled by the body in t s = area between the v-t graph and X-axis
Or distance travelled by the body in t s = area of the trapezium OABD
= (1/2) × (sum of parallel sides) × (perpendicular distance between them)
= (1/2) × (u + v) × (t)
= (u + v)t /2
APPEARS IN
संबंधित प्रश्न
Is displacement a scalar quantity?
A ball moves on a smooth floor in a straight line with uniform velocity 10 m s-1 for 6 s. At t = 6 s, the ball hits a wall and comes back along the same line to the starting point with the same speed. Draw the velocity-time graph and use it to find the total distance travelled by the ball and its displacement.
When brakes are applied to a bus, retardation produced is 25 cm s-2 and the bus takes 20 s to stop. Calculate -
- The initial velocity of the bus
- The distance travelled by bus during this time.
Define displacement.
Ashok starts from his house and travels 3 km to reach his school. On finding the school gates closed, he returns to his house. What is?
The displacement of Ashok
Name the physical quantity associated with the rate of change of displacement with time.
The table below shows the distance travelled by two vehicles A and B during each second:
| Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Distance travelled by A (m) | 0 | 20 | 80 | 180 | 240 | 300 | 360 | 420 |
| Distance travelled by B (m) | 0 | 10 | 40 | 90 | 160 | 250 | 360 | 490 |
Which vehicle is ahead at the end of 7th second and by how much?
Distance is a ______ quantity.
Is displacement a scalar quantity?
Displacement magnitude can be greater than the distance traveled by the object.
