At a given instant the train engine at E

has a speed of $v=24\frac{m}{s}$ and an

acceleration of $a=11\frac{m}{s^2}$ acting in the

direction shown.

$($Figure $1)$

Part A

Determine the rate of increase in the train's speed.

Express your answer to three significant figures and include the appropriate units.

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$\{$:$a_t=]$

Part B

Determine the radius of curvature $$ of the path.

Express your answer to three significant figures and include the appropriate units.

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$=$

$=$

Figure

The train travels over a circular railway having a

radius of rho. The train's engine is located at

point E$.$ Its acceleration vector a forms an angle

of $75$ degrees with the instantaneous velocity $v$

of the train's engine.