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# An object moves along the x-axis Its coordinates is given as functionof time as x = 7t - 3t² m where x is in metres and t is in seconds. Its average speed over the interval t =0 to t = 4 sec , is

Vikas TU
14149 Points
10 months ago
Dear student
The differentiation of displacement gives velocity.
x = 7t - 3t²
V = dx/dt
V = 7 - 6t
Plot the velocity time graph using the above equation.
2.The velocity time graph and speed time graph are similar except negative part of velocity time graph.
3.The negative part of velocity time graph becomes positive in speed time graph.
4.The total area under speed time graph gives the total distance travelled.
5.Area under the graph upto t = 4 sec , gives the distance travelled upto 4 seconds.
From the graph ,
Total distance = 169/6 m.
Total time = 4 sec
6.Average speed = total distance / time taken.
Average speed = (169/6)(1/4)
Average speed = 169/24 m/s