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A car with an initial speed of #6.5# #m##/##s# accelerates at a uniform rate of #0.92# #m##/##s^2# for #3.6# #s#. What is the final speed and the displacement of the car during this time?

Answer 1

Amelia Adams

Use the equations of motion, Luke!

#S=ut+(1/2)at^2#

#S=6.5+(1/2)(0.92)(3.6^2)#

#S=12.46#

#v^2-u^2=2aS#

#v^2-(6.5)^2 color(white)("d")=color(white)("d")2(0.92)(12.46)#

#v^2=2(0.92)(12.46)-(6.5)^2#

#v=4.39#

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Answer 2

Charlotte Aaron

Final speed: (v_f = u + at = 6.5 \ \mathrm{m/s} + (0.92 \ \mathrm{m/s^2} \times 3.6 \ \mathrm{s}) = 10.092 \ \mathrm{m/s})

Displacement: (s = ut + \frac{1}{2}at^2 = (6.5 \ \mathrm{m/s} \times 3.6 \ \mathrm{s}) + \frac{1}{2} \times 0.92 \ \mathrm{m/s^2} \times (3.6 \ \mathrm{s})^2 = 70.632 \ \mathrm{m})

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.