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Motion in two dimensions


Below we collect the information in column notation.

r1(t1=3.0 s) = (
0.0
3.1
) cm   and   r2(t2=16.3 s) = (
14.1
9.0
) cm

The displacement vector of the particle Δr is in the time interval (t1=3.0 s, t2=16.3 s) given by

Δr = r2 -r1 = (
14.1
9.0
) - (
0.0
3.1
) = (
14.1 - 0.0
9.0 - 3.1
) = (
14.1
5.9
) cm

The length Δr of the displacement vector follows from

Δr = |Δr| = √( 14.12 + 5.92 ) = 15.3 cm

Hence, the speed of the particle is given by

v = Δr / Δt = (15.3 cm) / (16.3 - 3.0 s) = 1.15 cm/s







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