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If you move your eyes straight to the bottom you will see that I am not comfortable with what I have done!

So you should probably  wait for someone else.

 

For part A

You would need to know the angle incline of the slope.

Because you need to have the vertical component of the initial velocity 

and that would be 96sin(angle)        

 

I suppose that you would use 2.5 degrees

$$V_y=96sin(2.5^0) \approx 4.187461187 km/hour$$ 

 

$${\frac{{\mathtt{4.187\: \!461\: \!187}}{\mathtt{\,\times\,}}{\mathtt{1\,000}}}{\left({\mathtt{60}}{\mathtt{\,\times\,}}{\mathtt{60}}\right)}} = {\mathtt{1.163\: \!183\: \!663\: \!055\: \!555\: \!6}}$$

approx vertical velocity is 1.1632 m/s   Initially   u=1.1632

a = -9.8m/s^2

Find height (s) when velocity = 0      v=0

 

 

Number 4 has u, a, v,    and s so use that one

$$\\v^2=u^2+2as\\\\
0=1.16318^2+2*-9.8*s$$

 

$${\mathtt{0}} = {{\mathtt{1.163\: \!18}}}^{{\mathtt{2}}}{\mathtt{\,\small\textbf+\,}}{\mathtt{2}}{\mathtt{\,\times\,}}{\mathtt{\,-\,}}\left({\mathtt{9.8}}{\mathtt{\,\times\,}}{\mathtt{s}}\right) \Rightarrow {\mathtt{s}} = {\frac{{\mathtt{114\,603\,045}}}{{\mathtt{1\,660\,192\,226}}}} \Rightarrow {\mathtt{s}} = {\mathtt{0.069\: \!029\: \!985\: \!326\: \!530\: \!5}}$$

 

This is the vertical height that it will coast in metres.

Draw the triangle and you can work out the distance it will coast up the hill

$${\frac{{\mathtt{0.069}}}{\underset{\,\,\,\,^{\textcolor[rgb]{0.66,0.66,0.66}{360^\circ}}}{{sin}}{\left({\mathtt{2.5}}^\circ\right)}}} = {\mathtt{1.581\: \!865\: \!408\: \!209\: \!866\: \!1}}$$

 

1.58 metres - That does not look right  

 

HELP - What did I do wrong ??

Dec 2, 2014

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