Set the acceleration to 2.0 m/s2 in all 4 regions and the initial velocity to ze

Question

Set the acceleration to 2.0 m/s2 in all 4 regions and the initial velocity to zero. Compare the time it takes the person to travel the 40 meters at this acceleration to the time in Question 1. How long does it take now? 6.3 second

Use the theoretical formulae to calculate the final velocity at 40 meters. Hint: Use the final velocity at 10 meters as the initial velocity for the final 30 meters. (Two sig figs will suffice in this question, although three is acceptable.)

For the situation in Question 3, use the theoretical formulae to calculate the final velocity at 10 meters.

Explanation / Answer

step;1

Given that

acceleration a=2 m/s^2

initial velocity u=0

step;2

now we find the time to travel 40 meters

basing on the equation of kinematices

s=ut+1/2at^2

40=0+1/2*2*t^2

t^2=40

t=6.3 sec

step;3

now we find the finial velocity at 40 m

finial velocity V^2=u^2+2a[xf-xi]

                       =0+2*2[30-10]

                       =80

finial velocity v=8.9 m/s

step;4

now we find the finial velocity at distance x=10 m

finial velocity v^2=0^2+2*2[10]

finial velocity v=6.3 m/s

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