Question #175017

An antelopes moving with constant acceleration covers the distance between two points 70.0m apart in 7.0s. It’s speed aa it passes the second point is 15.0m/s


A.) What is it’s speed at the first point? b) What is the acceleration?



1
Expert's answer
2021-03-29T09:03:59-0400

(a)

d=12(vi+vf)t,d=\dfrac{1}{2}(v_i+v_f)t,vi=2dtvf,v_i=\dfrac{2d}{t}-v_f,vi=270 m7 s15 ms=5 ms.v_i=\dfrac{2\cdot70\ m}{7\ s}-15\ \dfrac{m}{s}=5\ \dfrac{m}{s}.

(b)

vf=vi+at,v_f=v_i+at,a=vfvit=15 ms5 ms7 s=1.43 ms2.a=\dfrac{v_f-v_i}{t}=\dfrac{15\ \dfrac{m}{s}-5\ \dfrac{m}{s}}{7\ s}=1.43\ \dfrac{m}{s^2}.

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