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3.4

Velocity and Acceleration. 3.4. Given that f(t) is a position function relating distance in terms of time. Speed is the absolute value of velocity. Acceleration is the derivative of velocity. Velocity is the first derivative of position. If distance is in:. Velocity would be in:.

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3.4

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  1. Velocity and Acceleration 3.4

  2. Given that f(t) is a position function relating distance in terms of time. Speed is the absolute value of velocity.

  3. Acceleration is the derivative of velocity. Velocity is the first derivative of position. If distance is in: Velocity would be in: Acceleration would be in:

  4. A dynamite blast propels a heavy rock straight up with a launch velocity of 160 ft/sec. It reaches a height of ft after t seconds. a.) How high does the rock go? b.) What is the velocity of the rock when it is 256 ft above ground on the way up? On the way down? c.) What is the acceleration of the rock at any time t during its flight? d.) When does the rock hit the ground?

  5. A body’s velocity a time t sec is Find the body’s speed every time the acceleration is zero.

  6. Given the velocity graph, on each interval tell whether the object is moving forward or backward and speeding up or slowing down. v (m/sec) 4 t (sec) 5 10 -4

  7. v (m/sec) 4 t (sec) 5 10 When does the body reverse direction? When is the body moving at a constant speed? Graph the body’s speed. Graph the acceleration. -4

  8. Homework pg 129 #3-6,8,9,12,13,23,25 Read p128 and Ex 6 Do page 130 #10

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