The equation of moion of a particle CA 16 where sis 1n meters ondt io in seconds. find the velocuti nd acceleration as functions of t. Then find the positron, velbatr, and oceleration of the pasticle after 8 seconds.

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 4t 11t…

A: We have to find velocity

Q: A particle travels as a function of time according to the formula s = 60 + 14t + 0.07t3 where s is…

A: To find the acceleration by calculating the second derivative at the given instant.

Q: Assume the acceleration due to gravity is -32 ft/s². A ball is thrown vertically upwards from a…

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Q: A particle travels as a function of time according to the formula s = 130 + 8t + 0.04t3 where s is…

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Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t - 15t…

A: Topic:- application of derivatives

Q: Find the acceleration at time t=2 min of a helicopter whose height is s(t)=500t-4t^3m (Give your…

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Q: Give the VALUE only. No need to include the unit. * Let s, =15r +10r +20 and s3 = 5t + 40f , t 2 0,…

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Q: If s = t2 - t³, find the velocity when the acceleration is zero. Express your answer in decimal form…

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Q: A ball is thrown vertically upward from a height of 5 feet with an initial velocity of 40 feet per…

A: Given , initial speed u=40ftsec           Final speed v=0 ftsec          acceleration=-32 fts2From…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s (t) = 3t – 10t…

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Q: Two particles have positions at time t seconds given by the equations s1 = t – t meters and…

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Q: 1. If friction is ignored, the time, t (in seconds) required for a block to slide down an inclined…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. Find the…

A: We have given  velocity function vt=8t-8 ( in meter per second ) for a particle moving along a line.…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t-9t…

A: s(t)=2t³-9t meter  (a) Velocity=v(t)= d/dt(s(t)) v(t)=d/dt(2t³-9t) v(t)=6t²-9 Velocity at t=5 second…

Q: f'(rr), where f(t) = sint cost

A: Given function is ft=sint cost To find: f'π Solution: Product rule of differentiation is:…

Q: he velocity function of a particle in motion is given by v(t) = 3t2 i+ (t + 1)2j+ %3D

A: Given, Velocity function of a particle in motion is given by  v→t = 3t2 i→+ t+12 j→ + e2t+1 k→ To…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 6t³ – 13t…

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Q: Find the distance s covered by a point moving with linear velocity v for the given time t.   v = 55…

A: we have to find the distance s covered by a point moving with linear velocity v for the given time…

Q: Q1: A wheel accelerates uniformly from rest to 2000 r.p.m. in 20 seconds. What is its angular…

A: Since you have posted multiple questions but according to guidelines, we will solve the first…

Q: b) Find the point's acceleration at the specified time. s"(2) = ft/sec2 %3D

A: we have been given  s=3t-3t2   , t=2s'(t)=ddt3t-3t2s'(t)=-3t2+6t3now…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) : = 6t° (a)…

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Q: The position s of a point (in feet) is given as a function of time t (in seconds). s = Vt + 7t2; t =…

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Q: The position of a particle moving along a coordinate line is s = √(1 + 4t), with s in meters and t…

A: Given: The position of a particle moving along a coordinate line is:

Q: (a) Find the acceleration at time t = 4 min of a helicopter whose height is s(t) = 400t – 213 m.…

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Q: An object is moving with the velocity v(t) = 5/ sqrt of t  cm/sec. At time t = 4 sec, its position…

A: As we know

Q: A particle travels along the x-axis such that s = 41-2t + 5 where s represents its displacement in…

A: we have to solve the problem

Q: The accompanying figure shows the velocity v = f(t) of a particle moving on a coordinate line. (a)…

A: Given:      Graph is given

Q: A projectile fired into the first quadrant from the origin of a coordinate system will pass through…

A: An artilleryman is firing at an enemy bunker located 2625 feet up the side of the hill that is 6025…

Q: Cars A and B are set to race along parallel straight lanes of a highway. Let sB(t): and sA(t) 5t2 +…

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Q: The position function of a particle is given by s(t) = 3t° –- 9f metres after t seconds. a)…

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Q: Find the velocity and acceleration of a body moving according to the following equation S-ts.1 when…

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Q: The velocity of a particle moving along a straight line is v(t) = sec(t) tan(t) where v is measured…

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Q: The velocity function (in meters per second) is given for a particle moving along a line. Find the…

A: As per the guidelines we are allowed to solve one question at a time, post second question again.

Q: The velocity of an object in meters per second is given by v(t) 25-, 0sts5. Find: %3D a) The…

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Q: The velocity, v of a body as a function of time, t is given as v(t) = 3e 2t + 2, where t is in…

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Q: The position s of a point (in meters) is given as a function of time t (in seconds). 1 ;t = 1 S =…

A: The position s of a point in meters,   s=73t2-1t; t=1

Q: Find the distance s covered by a point moving with linear velocity v for the given time t.   v = 75…

A: Given that, v = 75 miles/hour  t = 15 sec We have to find the distance s covered by the point.

Q: Suppose velocity of a car starting from rest is modelled by equation V(t)= In(4t^3 + 1) m/s What…

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Q: Assume the acceleration of the object is a(t) = -9.8 meters per second per second. (Neglect air…

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Q: If the position of an object is S(t) = 16+ 10.5t – 4.9t meters from zero in t seconds, then what is…

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Q: ) The position of a hummingbird flying along a straight line in t seconds is given by S(t) = 4t³ –…

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Q: A particle moves along a straight line and has acceleration given by s(1) = 41 +3. Its initial…

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Q: 4. Find the instantaneous velocity if the position of an object in feet s defined as h(t) = 144 -…

A: Let's say there is a function f(x), where x is the independent variable. Then the derivative of f(x)…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 8t-15t…

A:

Q: ers. (a) Determine the velocity of the bird at t = 5 sec.. (b) Determine the acceleration of the…

A: The velocity is given by the first derivative of the displacement vector The acceleration is given…

Q: Find the position and velocity of an object moving along a straight line with the given…

A: Use the relation a(t) = v'(t) and s'(t) = v(t) And then integrate to find exact solution

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 4° – 11t…

A: Given that, the position of a humming bird flying along a straight line in t sec is given by…

Q: Given position s (in ft.) as a function of time t (in sec.): s=ť – 6t + 1, find the acceleration…

A: Given S(t)=t3-6t+1 is the equation for positionWe know that we get velocity upon differentiating the…

Q: ) If the position of an object is s(t) = -t³ + 6t² – 9t meters in t seconds; 8. . a) Determine the…

A: Topic - derivatives

Q: Find the distance s covered by a point moving with linear velocity v for the given time t. v = 47…

A: we have been given the linear velocity v = 47mi/hr and time t=12hr