# maths/physics

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Two objects are thrown simultaneously from the same height at 45° angles to the vertical with a
speed of 20 m per second; one up, the other one down. Find the difference between the heights the
objects will be at two seconds later. How are these objects moving in regards to one another?

• maths/physics -

Y1 = 20 sin45*t - (g/2)t^2
Y2 = -20 sin45*t -(g/2)t^2

Y1 - Y2 = 40 sin45*t = 56.6 m apart

V1 = 20 sin45 - gt
V2 = -20 sin45 - gt

The vertical velocity difference between them remains
V2 - V1 = -40 sin 45 = -28.3 m/s

Two seconds after release, both are going down, but V2 is going down faster.

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