The velocity of an object is v(t) = 50 – t2, osts 6 where v is measured in meters per second and t is the time in seconds. Find the velocity v(3) and acceleration a(3) of the object when t = 3. v(3) = a(3) =

Q: The position of an object moving along a line at any time t > 0 is given by the function s(t) = t3 –…

A:

Q: The gradient of the curve y =x+ 3x + 4x at the point where x =1 ise A В 4 13 D E 16

A:

Q: A particle moves vertically (in inches) along the yaxis according to the position equation s(t) = -…

A:

Q: A drone traveling horizontally at 80 m/s over flat ground at an elevation of 3500 meters must drop…

A:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 – 6t, where 0 <t < 2 (in…

A: To find the displacement at time t.

Q: Find the velocity of a particle when  S = t2 + 3t - 4 at t = 1 sec

A:

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

A:

Q: The rate r at which people get sick during an epidemic of the flu can be approximated by r =…

A:

Q: If a ball is given a push so that it has an initial velocity of 24 ft/sec down a certain inclined…

A: Here we can use the fact that the velocity is the instantaneous rate of change of distance. That…

Q: The velocity of an object is v(t) = 40 - t, 0sts 6, where v is measured in meters per second and t…

A:

Q: SOLVE THE FIRST ORDER DE. (x³ + y*)dx + 8y³xdy = 0 when x = 4, y = 2

A:

Q: t 2 If the velocity of a moving object is y(t) = --- 2 12 in meters per second, then what is its…

A: The veloctiy of a moving objcet is v(t)=t2-2t2 in meters per second.

Q: Q3. A parachutist weighing 192 lb falls from a plane (that is v, = 0). When the parachutist's speed…

A:

Q: If s = 3t2 – 16t-2, when will acceleration be zero? An object moves along a horizontal line…

A:

Q: The position of a particle moving along the y-axis is given by y(t) = ct³ + bt + 100, where c and b…

A:

Q: d'y If x =t-sint , and y=1-cost, find

A:

Q: A ball is thrown upward from a height of 6.5 m at an initial speed of 61 m/sec. Acceleration…

A: here we have .................initial height .................initial velocity ..............gravity

Q: What is the solution for y(t)?

A:

Q: A particle moves along the x-axis with its position measured relative to the origin and has an…

A: To find: The velocity and position after t=1 second: Given: The acceleration of the body is at=6t+4…

Q: The velocity of a ball projected upward from ground level is given by v(t) = −32t + 48, where t is…

A: We know that, the rate of change of distance with respect to time is called velocity. That if s…

Q: The equations for free fall at the surfaces of Mars and Jupiter (s in meters, t in seconds) are s =…

A: Consider the provided equation of free fall at the surfaces of Mars and Jupitar are shown below,

Q: Show that for motion in a straight line with constant acceleration a, initial velocity v0, and…

A: Let the acceleration a(t) = a, constant.Take integral on both sides to get velocity equation,

Q: If s = 3t – 16t-², when will acceleration be zero? An object moves along a horizontal line according…

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 by s(t) = 3t2 – t3, t > 0. (a) When does the particle…

A: The given position function is:  s(t)=3t2-t3So, the velocity function…

Q: A particle is moving along a straight line so that v ft/sec is the velocity of the particle at t…

A: Given v=t+3t2+3t+2. The objective is to find the distance traveled by the particle from the time…

Q: The velocity of an airplane at takeoff, starting from a full stop, is given by the function v(t):…

A: Acceleration=velocity/time Differentiation of velocity wrt time gives acceleration .

Q: 2. The velocity of an object is v(t) = 40 – t² ,0 <t< 6,where v(t) is measured in meters per second…

A:

Q: 4. Determine dx2 - of the function y = v1– 2xt + t² |t= constant

A:

Q: C) Was the speed of the particle increasing or decreasing at t = 4 ? Justify your answer. D) For t >…

A: Explanation: c. Given the object position function is: s(t)=t3-9t2+18To find the speed of object we…

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

A: This question is based on derivative application.

Q: A particle moves along the x−axis according to the equation x(t)=2t3+6t2−6t+1, where time t≥0 and is…

A:

Q: A cyclist rides down a long straight road with avelocity (in m/min) given by v(t) = 400 - 20t, for 0…

A: A cyclist rides down a long straight road with a velocity (in m/min) given by v(t)=400-20t, for…

Q: the supply function for luminar lamps is p=0.1x2+o.5x+15, where x is measured in thousands of lamps…

A: Given: A supply function for luminar lamps p=0.1x2+0.5x+15, where p is the unit price in dollars and…

Q: The velocity of an object is v(t) = 20 − t2 , 0 ≤ t ≤ 6, where v is measured in meters per second…

A:

Q: Suppose you are standing in a field near a straight section of railroad tracks just as the…

A:

Q: In winter, cold wind blows from North to South which brings dramatic decrease in temper- atures in…

A: According to the given data in question you try to solve this problem

Q: Find the velocity and acceleration when t = 3. %3D X =t° -3t –5

A: Solution is given as below:

Q: The velocity of an automobile starting from rest is v(t) = 100t/(2t + 15) where v is measured in…

A: As per the bartleby guidelines for more than one part only one has to be solved. Please upload the…

Q: If the position of a particle of mass m at time t seconds is given by 7= (r +1)i- 2j + ik, which of…

A: The position vector of the particle is given by, r→=t2+1i−2tj+t2k

Q: An element is moving along a straight line so that v ft/sec is the velocity of the particle at t…

A:

Q: Q-1-At time t, the position of a body moving along the s - axis is t4 9. S = - 2t3 2t3 +t2 + 5t -- 4…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: At time t20, the velocity of a body moving along the s-axis is v=² - 7t+6. When is the body's…

A:

Q: The velocity v (in feet per second) of a rocket whose initial mass (including fuel) is m is given by…

A: Given :  v=-gt + u lnmm-rt,   t&lt;mrAlso given that :  g=32,…

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: For time t > 0, a particle moves along the x-axis, its position is given by the function s(t) = -t3…

A: Given: s(t)=-t3+3t2-6 For a given position function s(t) , velocity and acceleration is defined as…

Q: The position of a hummingbird flying along a straight line in t seconds is given by s(t) = 2t3 9t…

A: The posotion of a hummingbird flying along a straight line in t seconds is given by st=2t3-9ta.…

Q: At time t ≥ 0, the velocity of a body movingalong the horizontal s-axis is v = t2 - 4t + 3. When is…

A:

Q: An object is moving along a straight line with its position in feet at time t in seconds given by s…

A: Given, Displacement of body s(t)=t3-2t2-7t+9

Q: At time t seconds, the center of a bobbing cork is 2sin(2t) centimeters above or below water level.…

A: ft=2sin2t Now velocity is the derivative of position with respect to time. So differentiating…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.