Calculating Final Speed After Momentum Boost of 85N

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To calculate the final speed of a 5kg model vehicle after a rocket boost of 85N for 20 seconds, the impulse-momentum theorem should be applied. The force applied over time results in a change in momentum, which can be calculated using the formula Ft = m(Vf - Vi). The acceleration can be determined by dividing the force by the mass (a = F/m), leading to a final velocity equation of v(t) = v_initial + a*t. The initial speed of 14 m/s must be adjusted based on the calculated acceleration to find the correct final speed. Proper application of these principles will yield the accurate resulting speed.
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A 5kg model vehicle traveling at 14 m/s experiences a rocket boost of 85N (in the direction of motion) for 20s. What is the resulting speed?

I tried using:

F = mv/t, but that didn't work out for me.

85 = 5v/20
85*20 = 5v
1700/5 = v
v = 340 m/s

but, that's wrong... what am I doing incorrectly? thanks.

edit: I guess you could consider impulse actually, heh... whoops
 
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Try

v(t)=v_initial + a*t

F=m*a ----> a=F/m
 
Last edited:
In this case F*t = mVf - mVi, in other words, the Ft equals the change in momentum.
 
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