Q)an object is in motion along a straight path along x axis and its velocity is given by v = at+ bt where a =2.5 metre per second and b =0.5 metre per second and time t is measured in seconds the object starts moving from the origin point for example at t= 0 the object was situated at X = 0. 1) is the object is in uniform motion. 2) what is the acceleration of the moving object.
3)what is the velocity at t=2seconds
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Answer:
Position is given as x=a+bt
2
=8.5+2.5t
2
Position at t=2 s, x
2
=8.5+2.5(2)
2
=18.5 m
Position at t=4 s, x
1
=8.5+2.5(4)
2
=48.5 m
Displacement S=x
2
−x
1
=48.5−18.5=30 m
Time taken t=4−2=2 s
Average velocity V
avg
=
t
S
=
2
30
=15 m/s
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