Question

the velocity time graph of a particle moving along a straight line is shown below find the average velocity of the particle in kilometres per hour

Answer 1

total distance = 5000m 


average velocity = total distance/total time

                             

Answer 2

given,

velocity-time graph: From this graph we can find the total distance travelled by the particle.

total distance travelled (D) = Area of the Velocity-time graph

D = Area of the triangle

$D = \frac{1}{2}* height*base\\ D= 0.5 * 100*100\\D= 5000 m$

To find,

Average velocity of the particle 'V'

V = (total distance travelled) / (total time elapsed)

from the graph, total time elapsed = 100 sec

$V = \frac{5000}{100}\\ V=50m/s$

converting (m/s) to (Km/hr)

$V = 50 \frac{1}{1000}Km/sec\\ \\V = \frac{50}{1000}*(60*60) Km/hr \\ \\V = 180 Km/hr$

∴Average velocity of the particle is $180 Km/hr$

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