Answer to Question #334776 in Math for Agl

Question #334776

7. A ball is thrown vertically upward with a speed of 7.1 m/s. Find:


(9 points)


a. Maximum height reached the ball


b. Its time of flight


c. Velocity the ball would return to its starting point

1
Expert's answer
2022-05-02T09:33:02-0400

a.


hmax=v022g=(7.1m/s)29.8m/s22.572mh_{max}=\dfrac{v_0^2}{2g}=\dfrac{(7.1m/s)^2}{9.8m/s^2}\approx2.572m

b.


h(t)=v0tgt22h(t)=v_0t-\dfrac{gt^2}{2}h=0=>v0tgt22=0h=0=>v_0t-\dfrac{gt^2}{2}=0

t1=0,t2=2v0gt_1=0, t_2=\dfrac{2v_0}{g}

t2=2(7.1m/s)9.8m/s21.45st_2=\dfrac{2(7.1m/s)}{9.8m/s^2}\approx1.45s

c.


vground=v0=7.1m/sv_{ground}=-v_0=-7.1m/s


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