a model rocket of mass 0.5 kg is launched straight up. At an altitude of 140 m, when its speed is 90 m/s, it spontaneously blows apart into two equal pieces. One piece continues upward at a speed of 10 m/s. How fast is the other piece moving

The other piece is moving at 170 m/s.

Explanation:

To find the speed of the second piece can be found by conservation of linear momentum:  

Where:

m₁: is the rocket's mass = 0.5 kg      

m₂ = m₃: is the mass of the two equal pieces = 0.25 kg

v₁: is the rocket speed = 90 m/s

v₂: is the speed of the first piece = 10 m/s

v₃: is the speed of the second piece =?

Therefore, the other piece is moving at 170 m/s.

I hope it helps you!                                                                   

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explanation:

if the person is shown to have +90n, then ans is -10n.

if the person is shown to have -90n, then ans is +10n.