The position function of a golf ball rolling on an incline is given by d(t) = 4r² + 7t, where d is measured in meters, r in seconds. Find the bal's velocity at 1 = 3 seconds. Answer Keyb m/s

Q: The position of an object moving along a line is given by the function s(t)=-9t^2+27t Find the…

A: s(t)=-9t2 + 27tHence, s(1 + h) = - 9  x (1 + h)2 + 27 x (1 + h) = - 9h2 - 18h – 9 + 27 + 27h = - 9h2…

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A: Given curve is Firstly, we will find value of x and y at t=3pi/4

Q: Find the slope of the tangent line to f(x) = e***4* at the point where x 0. %3D a) 00 b) O-4 d) 04

A:

Q: The displacement, in meters, of an object moving in a straight line is given by s(t) = 3+ 4t +t2,…

A: The displacement is given by

Q: Find the average velocity from time t= 0 to t = 1 of a car whose position p(t) along a horizontal…

A: Here, we have, Position of car along horizontal track is pt=4-t-2 from t=0 to 1 It is known that…

Q: Given that s(t) = 12t – t is a a position function in millimeters and t is time in seconds; find the…

A: For the average velocity first, find the displacement between t=1 and t=3 seconds and then divide it…

Q: For a given table 6. 10 14 y 4 12 Find the value of at x = 2 using forward difference formula. dy dx…

A:

Q: If position is given by p(t) = t + 1, what is the velocity, v(t), at t = 2. meters per second

A: topic - derivatives

Q: 3. The velocity of a car (in miles per hour) is given by v(t) = 5 +2t, where t is in hours. Find how…

A:

Q: A weather balloon is released and rises vertically such that its distance s(t) above the ground…

A: s(t)= 6+13t+8t^2 ds/dt = v = 13+16t v= 13+ 16(52) v= 13 + 832 v= 845.

Q: The displacement (in meters) of a particle moving in a straight line is given by = 9t3 + 4t – 18, |…

A: Given,         The displacement in meters of a particle moving in a straight line is given by…

Q: The position function of a particle is given by s(t) =3t-t, t20. (e) When does the particle reach a…

A: Topic- application of derivatives

Q: The r.m.s. value of f(t) = t² across [1,4] is %3D

A:

Q: Use the graph of position, h(t), shown to estimate the velocity, v(t), at t = 1s. Time (sec) in (w)…

A:

Q: The position function of a particle is given below. 6t2 91t, t 2 0 s(t) t3 When does the particle…

A: To determine the time when the particle reach a velocity of 5 m/s.

Q: Find dy/dx and dy/dx². x = e, y = tet For which values of t is the curve concave upward? (Enter your…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: What is The velocity when s=0 ? given:     s=-16t^2+80t+60 where t is in seconds  velocity at t=2

A: s=-16t2+80t+60 Velocity is the derivative of the position function. So differentiating…

Q: If position is given by p(t) = t² – 1, what is the velocity, v(t), at t = 1. |meters per second

A: The position is pt=t2-1   Known fact: It is known that the velocity of an object is the rate of…

Q: For the position function s(t) = - 16t + 108t, complete the following table with the appropriate…

A: Given data:     The expression for the position function is: s(t)=-16t2+108t.   Substitute 1 for in…

Q: - The position of an object moving on a line is given by s(t) = 6t2 – t°, t > 0,

A: Solve

Q: The velocity of a particle moving along a straight line is given by v(t) = 6t² + 4t – 5 cm/sec at…

A:

Q: The position function of an object is given by s(t) = -t + 2t. For t > 0 and s(t) = 0m, the velocity…

A:

Q: Ive by the method of variation of parameters (without using formulae): D°y + 2Dy + y = e* /r°.

A:

Q: The displacement (in meters) of a particle moving in a straight line is given by s = t? – 3t + 10…

A:

Q: given the position function for an object in motion is s(t)=2t2+4t-1 what is the average velocity on…

A: Definition used:The average velocity of an object with position function f(t) over an interval [a,…

Q: (a)Differentiate t + 3t* – 2t with respect to t. (b) 4 (x³ – - * +) with respect to x. (c) Find when…

A:

Q: The position of a moving particle is given by s(t) 2t2-18t on 2 <t<9where 's' is meters and 't' is…

A:

Q: The time it takes (in hours) to travel from bridge A to bridge B can be approximated by, T(v) = 119…

A:

Q: The position function of a particle is given bys = t3 -4.5t2 -7t         t≥0(a) When does the…

A: Given the position function of a particle is s=t3-4.5t2-7t, where t≥0. (a). We know that velocity of…

Q: The position function of a particle is given below. s(t) = 3 + 6t2 - 61t, t > 0 When does the…

A: Velocity function is the derivative of the position function. So differentiating s(t) with respect…

Q: The position function of a golf ball rolling on an incline is given by d(t) = 4t² + 3t, where d is…

A:

Q: Your velocity is given by v(t) = t2 + 1 in m/sec, with t in seconds. Estimate the distance, s,…

A: Write the function of velocity in the form of variable time

Q: An object is thrown straight up with a velocity, in ft/s, given by v(t)=−32t+47v(t)=−32t+47, where…

A:

Q: Engineers have determined that the maximum force t in tons that a bridge can rry is related to the…

A: As per guidelines i can solve only first question

Q: The position function of a particle is given below. s(t) = t3 + 1.5t2 - 55t, tz 0 %3D When does the…

A:

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

A:

Q: For the position function s(t) = - 16t + 110t, complete the following table with the appropriate…

A: Consider the position function

Q: The position of a moving object is given by the function s (t) = 4t² – 10. What is the instantaneous…

A:

Q: The position function of a particle is given by = t3 – 10.5t2 – 2t, t > 0 When does the particle…

A:

Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

A:

Q: For numbers 7 and 8. Let v(t) =t2 – 2t – 5 be the velocity function for a particle moving along a…

A:

Q: If position is given by p(t)=-t^2+5t what is the velocity v(t) at t=2?

A: The position is p(t)=-t2+5t

Q: In what direction is the derivative of f(x,y)= xy +y at P(4,9) equal Select the correct choice below…

A:

Q: The position function of a particle is given by s(t)=t^3−4t^2−8t, t≥0 where s is measured in meters…

A: To find the velocity function from the position function, we have to differentiate position function…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 3t³ – 10t…

A: s(t)=3t3-10t(a)  v(t)=s'(t)=9t2-10       substitute t=1    v(1)=9(1)2-10          =9-10…

Q: The velocity of a ball thrown upward into the air is given by v(t) = -32t + 96, where t is time…

A: We can use displacement velocity relation to find solution to the problem .

Q: The position function of a particle is given below. s(t) = t3 + 3t2 - 6t, t 2 0 When does the…

A: The velocity function of a particle is given byv(t)=ddts(t)

Q: x = VE, y = t? – 2t; t = 16

A:

Q: find the velocity at 2 seconds for the position function s(t) =-16t2+35t+55 where distances are…

A: