v = vị + 2GM - ) R

Q: A car traveling at 55 ft/sec begins decelerating (time is zero here, as is position) at a constant 5…

A:

Q: 2) From assumption (c), the velocity (v) at time (t) of the water droplet is 3 v' + v = g. t+ro If…

A:

Q: A car traveling at 45 ft/sec begins decelerating (time is zero here, as is position) at a constant 5…

A:

Q: A car traveling at 50 ft/sec begins decelerating (time is zero here, as is position) at a constant…

A: We will find the distance as required.

Q: The speed, s, of an accelerating object moving on a strait line is given by the formula: s = so +…

A: The initial speed is 10 m/s and the speed at time t is 16 m/s, so s0=10 m/s and s=16m/s. The time…

Q: The velocity function (in meters per second) for a particle moving along a line is given by v(t) =…

A: Given, v(t)=t3-2t2   Interval [a,b]=[-2,3]

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

A:

Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 – 5t, where 0 <t < 0.5…

A:

Q: Given that the first derivative of x^81+y^81=-36 is given by dy/dx=kx^c/y^c,what is the value of k?

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 volume of a spherical cancerous tumor is given by the following equation. V(r)= (4/3) pi r^3 If…

A: Given that: Volume of tumor: V = 43πr3Radius of tumor, r=1.1cmError in measuring tumor, dr = 0.005…

Q: Suppose that a particle moves along a straight line with velocity v(t) = 11 – 5t, where 0 <t 0.5 (-…

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

Q: The Strikers Technologies Company determines that the marginal cost for their MaxiPak flash disks is…

A: We will integrate the function with respect to x and then find the general solution. Next, for…

Q: A cyclist rides down a long straight road at a velocity​ (in m/min) given by v(t)=100−10​t, for…

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: 1. If a stone is thrown vertically upward frosthe surface of the moon with a velocity of 10 meters…

A: Follow the procedure given below.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 15 – 2t, where 0 ≤ t ≤ 3…

A: Here, the displacement is: S(t)=-t2+15t

Q: 4. A certain particle is travelling in a straight line governed by the equation a = v5 m / s?. If…

A: we know the first equation of motionv=u+atv=1+2v95  m/s

Q: Suppose that a particle moves along a straight line with velocity v(t) = 12 – 3t, where 0 <t < 0.5…

A: Solution

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: Assume a particle’s position is given by f (t) = −4 / t, where t is measured in seconds and f (t) is…

A: The velocity of a particle is found by differentiating the position function of a particle,…

Q: The velocity function of a particle moving along a horizontal line is given by v(t) = In2 × 23t…

A:

Q: A car is moving at a constant acceleration of 3.6 m/s away from a tree. Atr= 0, the car is 11 m away…

A:

Q: The velocity of a partical moving along x axis is defined by               v= kx3-4x2+6x where v is…

A:

Q: The bending moment M of the beam is given by -w(l – x) where w is a constant Determine of x given M…

A:

Q: Two boats leave a dock at the same time. One boat travels south at 16 mi / hr and the other travels…

A: Let's find.

Q: 6. If a rock is thrown upward on the planet Mars with a velocity of 10 m/s, its height in meters t…

A: We have given function y=10t-1.86t2 where, y represent height in meteres after t second. We have to…

Q: The period T of a simple pendulum is given by T=2π√L/g where L is the length of the pendulum and g…

A:

Q: A rocket accelerates by burning its on-board fuel, so its mass decreases with time. Suppose the…

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

Q: A ball is thrown upward from a height of 0.9 m at an initial speed of 24 m/sec. Acceleration…

A:

Q: A car traveling at 50 ft/sec begins decelerating (time is zero here, as is position) at a constant 5…

A: We will find how many feet the car travells before coming to a complete stop as following.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 7 – 4t, where 0 <t < 1.5…

A:

Q: Suppose that a particle moves along a straight line with velocity defined by v(t) = 10t(4 − t) (t +…

A: The given data isVt=10t4-tt+1t-7m/s.To find:The distance travelled by particle over interval t∈0,6.

Q: Assume a particle's position is given by f(t)=3/t,where t is measured in seconds and f(t) is given…

A: Assume a particle's position is given by ft=3t ,where t is measured in seconds and ft is given in…

Q: The velocity function (in meters per second) is given by v(t) = t2 - 2t - 3, for a particle moving…

A: We will use formula for the Displacement and distance in terms of Velocity function

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

A: Consider that acceleration of object is given by at=6t+4 cm/s2, initial velocity is -6 cm/s and…

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: A rocket accelerates by burning its onboard fuel, so its mass decreases with time. Suppose the…

A: you can clearly understand if you follow the below solution

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

A:

Q: If we neglect air resistance, then the range of a ball (or any projectile) shot at an angle θ with…

A: For maximum range dR/dtheta=0v0 and g are constants.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 10 - 1t, where 0 <ts 3 (in…

A:

Q: If a ball is thrown vertically upward from the roof of 4848 foot building with a velocity of 6464…

A: s(t) = 48 + 64t - 16t2Hence, s’(t) = 64 – 32ts”(t) = - 32When s is maximum, s’(t) = 0; hence 64 –…

Q: Suppose that a particle moves along a straight line with velocity v(t) = 14 – 2t, where 0 <t < 3 (in…

A:

Q: A ball is thrown upward from a height of 4.6 m at an initial speed of 48 m/sec. Acceleration…

A:

Q: Use the method of Green's function to solve y" + y = sint, y(0) = 1, y'(0) = -1.

A:

Q: A car traveling at 55 ft/sec begins decelerating (time is zero here, as is position) at a constant…

A: We will find how many feet the car travells before coming to a complete stop as following.

Q: Suppose that a particle moves along a straight line with velocity v(t) = 13 - 5t, where 0 ≤ t ≤ 1…

A: Here the velocity function is v(t)=13-5t   , where 0≤t≤1 (in meter per second). We have to find the…

Q: A particle moving in a straight line is at a distance of s(t) = 1.lt³ + 13t feet from its starting…

A: The solution is given in next step

Q: Suppose that a particle moves along a straight line with acceleration defined by a(t)=t-3 where…

A:

Q: A car moves in a straight line. At time t (measured in seconds), its position (measured in meters)…

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.