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Lam

Lam

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INSTANT ANSWER

A ball is thrown at an angle of 30 degrees to the horizontal with a speed of 2 m/s . After rebounding, what is the maximum height reached by the ball?

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INSTANT ANSWER

MCM ? \( \cos 0^{\circ} \) ?1?FBD ?2?\( F_{c} \) ? ?3?Axes? m ?4?Resolve? \[ \begin{array}{l} F_{T} \cos \theta=m g \\ F_{T \sin \theta}=\frac{m v^{2}}{r}=m r \omega^{2} \end{array} \] ? A A A ? ? ? ? \( \rightarrow \) ?

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INSTANT ANSWER

MCM ? \( \cos 0^{\circ} \) ?1?FBD ?2?\( F_{c} \) ? ?3?Axes? m ?4?Resolve? \[ \begin{array}{l} F_{T} \cos \theta=m g \\ F_{T \sin \theta}=\frac{m v^{2}}{r}=m r \omega^{2} \end{array} \] ? A A A ? ? ? ? \( \rightarrow \) ?

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INSTANT ANSWER

1) A Rocket is launched upwards from rest with acceleration of \( 10 \mathrm{~m} / \mathrm{s}^{\wedge} 2 \) and moves 0.5 km before the engine breaks and cuts off. Find the maximum height/altitude reached by the rocket after the engine detaches

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INSTANT ANSWER

5. The functions f and g are defined by \[ \begin{array}{ll} \mathrm{f}(x)=2+5 \ln x & x>0 \\ \mathrm{~g}(x)=\frac{6 x-2}{2 x+1} & x>\frac{1}{3} \end{array} \] (a) Find \( f^{-1}(22) \) (b) Use differentiation to prove that g is an increasing function. (c) Find \( \mathrm{g}^{-1} \) (d) Find the range of fg

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