A ball dropped from a state of rest at time t = 0 travels a distance s(t) = 4.9t 2 mint seconds.(a) How far does the ball travel during the time interval [2, 2.5]?(b) Compute the average velocity over [2, 2.5].(c) Compute the average velocity for the time intervals in the table andestimate the ball's instantaneous velocity at t = 2. Interval [2, 2.01] [2, 2.005] [2, 2.001] [2, 2.00001] Average velocity

Assume the acceleration of the object is a(t) = −9.8 meters per second per second. (Neglect air resistance.) A baseball is thrown upward from a height of 3 meters with an initial velocity of 8 meters per second. Determine its maximum height. (Round your answer to two decimal places.)

A car is traveling back and forth. Its velocity (in feet per second) after t seconds is given by v(t) = 9−3t.Determine the position of the car after four seconds if s(0) = 0 (where s(t) is the position functionfor the car).a)Find the total distance the car traveled from t = 0 to t = 4

A mountain climber stands at the top of a 35.0 m cliff that overhangs a calm pool of water. She throws two stones vertically downward 1.00 s apart and observes that they cause a single splash. The first stone had an initial velocity of -1.20 m/s. (a) How long after release of the first stone did the two stones hit the water? (Round your answer to at least two decimal places.) 7.14 Your response differs from the correct answer by more than 100%. s (b) What initial velocity must the second stone have had, given that they hit the water simultaneously? -33.7 Your response differs from the correct answer by more than 100%. m/s (c) What was the velocity of each stone at the instant it hit the water? first stone -26.16 m/s -26.16 second stone Your response differs from the correct answer by more than 10%. Double check your calculations. m/s

When a ball is dropped from a state of rest at time t = 0, the distance it has travelled after t seconds is s(t) = 4.9t? meters. (a) How far does the ball travel during the time interval [3, 3.5]? (Use decimal notation.) distance: meters (b) Compute the average velocity over the time interval [3,3.5]. (Use decimal notation.) average velocity: m/sec (c) By computing the average velocity over the time intervals [3,3.1], [3, 3.01], and [3, 3.001], estimate the ball's instantaneous velocity at t = 3. (Round your answer to one decimal place.) instantaneous velocity: m/sec

QUESTION 5 If an object is confined to move along some surface, the normal force from the surface does work on the object. True False

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