A special racing car starts from rest and accelerates in a straight line with a constantacceleration of 5.8 m/s². After 376 metres, it deploys a parachute which results in adeceleration of kv? where v is the speed of the car in m/s and k is a constant (has a unitof 1/m). If the car's speed slowed down to 37 km/hr 7.5 seconds after the parachutewas deployed, determine the constant k and then give your answer to Z = 1000*|k|rounded to two decimal places. Note that |k| means the absolute value of k.

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