Supposing thepositionof a particle is given by s=f(t)=5t³ + 6t + 9, thevelocityof the particle at time t isAvectornumber called velocity is used to explain how quickly an object's position changes in relation totime. It takes into account both an object's speed (how quickly it moves) and its direction of motion.In physics,velocityis frequently denoted by the letter v and is expressed in terms of m/s (metres per second) or km/h (kilometres per hour).Thevelocity(v) of a particle is the derivative of its position (s) with respect to time (t):Given the positionfunction, we'll find thederivativewith respect to t to determine the velocity function:Using the power rule ofdifferentiation, where, we differentiate each term:Thus, thevelocityof the particle at time t is.For more details regardingvelocity, visit:brainly.com/question/34025828#SPJ12...

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