Question

(b) The position of an object moving along x-axis is -
x=2 + 5t, where t is in seconds. Find
(1) Velocity at t=0
(ii) Velocity at t=2s​

Answer 1

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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