Problem #$3$: Spinning Up the Robot

Suppose you are programming a robot that needs to spin its flywheel to a specific speed before it can shoot a ball. The wheel spins around and around for many rotations $($while$-$loop iterations$)$ until it reaches the minimum required speed and then shoots the ball. Complete the function when$\_$shoot, which returns the iteration during which the ball could be shot because the flywheel has reached the required minimum speed. The first iteration is iteration #$0.$ The function takes three parameters:$$

ramp$\_$rate: the number of rotations per minute $($rpm$)$ the flywheel increases per iteration

set$\_$speed: the minimum rpm needed before the robot can shoot

hits: a list of iteration #s in which the robot gets hit by another robot. If the robot gets hit during an iteration, its speed decreases by $30$ rpm instead of increasing by ramp$\_$rate.

Function Call

Expected Return Value $($integer$)$

when$\_$shoot$(15,10,[0])$

$1$

when$\_$shoot$(5,3000,[3,10,100,500])$

$624$

when$\_$shoot$(10,2500,[15,103,200])$

$261$

when$\_$shoot$(15,4000,[26,105,137,265])$

$278$

when$\_$shoot$(5,300,[3,4,59])$

$71$