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Question Number 73441 by Learner-123 last updated on 12/Nov/19

Answered by mr W last updated on 12/Nov/19

((1+2)/1)=(((7+d)/7))^2   ⇒d=7((√3)−1)=5.12 m    v_0 t=7  1=(1/2)gt^2  ⇒t=(1/(√5))  v_0 =7(√5)=15.65 m/s

$$\frac{\mathrm{1}+\mathrm{2}}{\mathrm{1}}=\left(\frac{\mathrm{7}+{d}}{\mathrm{7}}\right)^{\mathrm{2}} \\ $$$$\Rightarrow{d}=\mathrm{7}\left(\sqrt{\mathrm{3}}−\mathrm{1}\right)=\mathrm{5}.\mathrm{12}\:{m} \\ $$$$ \\ $$$${v}_{\mathrm{0}} {t}=\mathrm{7} \\ $$$$\mathrm{1}=\frac{\mathrm{1}}{\mathrm{2}}{gt}^{\mathrm{2}} \:\Rightarrow{t}=\frac{\mathrm{1}}{\sqrt{\mathrm{5}}} \\ $$$${v}_{\mathrm{0}} =\mathrm{7}\sqrt{\mathrm{5}}=\mathrm{15}.\mathrm{65}\:{m}/{s} \\ $$

Commented by Learner-123 last updated on 12/Nov/19

how comes the 1^(st)  line?

$${how}\:{comes}\:{the}\:\mathrm{1}^{{st}} \:{line}? \\ $$

Commented by mr W last updated on 12/Nov/19

Commented by mr W last updated on 12/Nov/19

parabola:  y=Ax^2   y_1 =Ax_1 ^2   y_2 =Ax_2 ^2   ⇒(y_2 /y_1 )=((x_2 /x_1 ))^2

$${parabola}: \\ $$$${y}={Ax}^{\mathrm{2}} \\ $$$${y}_{\mathrm{1}} ={Ax}_{\mathrm{1}} ^{\mathrm{2}} \\ $$$${y}_{\mathrm{2}} ={Ax}_{\mathrm{2}} ^{\mathrm{2}} \\ $$$$\Rightarrow\frac{{y}_{\mathrm{2}} }{{y}_{\mathrm{1}} }=\left(\frac{{x}_{\mathrm{2}} }{{x}_{\mathrm{1}} }\right)^{\mathrm{2}} \\ $$

Commented by Learner-123 last updated on 13/Nov/19

thanks sir.

$${thanks}\:{sir}. \\ $$

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