A projectile is shot upward from the surface of Earth with an initial velocity of 104 meters per second. Use the position function below for free-falling objects. What is its velocity after 2 seconds? After 10 seconds?  s(t) = −4.9t2 + v0t + s0

Q: During a fireworks show, a rocket is fired vertically upward with an initial velocity of 200 meters…

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Q: A rock is launched vertically upward from the ground with a speed of 96 ft>s. Neglecting air…

A: Given that s(t)= -16t2 + 96t. a) the average velocity of the rock between t = 1 s and t = 3 s is:

Q: 2. An object is spotted falling off the Golden Gate bridge of height 220 feet above sea level. The…

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Q: 4 lednesday Solve and check for any extraneous solutions.- x+5 x+6

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Q: A ball is launched straight up in the air from a height of 5 feet. Its velocity​ (feet/second) t…

A: The velocity is the rate of change of the distance with respect to the time. Hence, it can be…

Q: The position of a particle moving in a straight line is given by s() =- 8² + 28r, where s(t)…

A: Solution )  s(t) = t3/3 - 8t2 + 28 t  Differentiate with respect to t   v (t) = s'(t)  = 3t2/3 - 8×2…

Q: A soccer ball is kicked from the ground with an intitial upward velocity of 90 feet per second. The…

A: Given that a soccer ball is kicked from the ground with an initial upward velocity of 90 feet per…

Q: A ball is thrown downward with a speed of 11 ft/s from the top of a 121-foot-tall building. After t…

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Q: The rock hits the surface after 5.38 seconds. With what velocity will the rock hit the surface?

A: Given H=15t-2.79t2 Velocity can be obtained with  differentiation of height. V=dH/dt

Q: A ball is thrown from an initial height of 5 feet with an initial upward velocity of 21 ft/s. The…

A: Given that, h = 5 + 21t - 16t2 Where h represents the height in feet and t represents the time in…

Q: The height of a ball after being dropped from the top of a tower is given by s(t) = - 16t² + 85…

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Q: Try to find a "guess function" for the equation y" – 4y = 16xe2". What happens when you plug in the…

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Q: The windchill index announced during the winter by the weather bureau measures how cold it "feels"…

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Q: It costs C(x) = x² + 400 dollars to produce x number of televisions.

A: Topic - Instantaneous rate of change We are given Cost to produce x number of televisions…

Q: If an object is dropped from a 150-foot-high building, its position (in feet above the ground) is…

A: Negative sign of the velocity is due to the downward movement of the body.