A ball is thrown upward from a height of 12.5 m at an initial speed of 30 m/sec. Acceleration resulting from gravity is -9.8m/sec². Neglecting air resistance, solve for the velocity v(t) and the height h(t) of the ball t seconds after is is thrown. Velocity v(t) meters/second Height h(t) meters

Q: A ball is thrown upward from a height of 3.9 m at an initial speed of 31 m/sec. Acceleration…

A:

Q: A particle is moving along the x-axis so that its position at time t≥0 is given by the equation…

A:

Q: What is the daredevil’s acceleration at t = 3 seconds?

A:

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

A:

Q: The position of a moving object is s(t)=t^3-2t^2-8t+5 feet away from 0 at t minutes. How long, in…

A:

Q: a particle moves along a straight line with an acceleration of a= 4sin pye t divided by 2 m/s…

A: Given,      a = 4 sinπet2   dvdt = acceleration

Q: a weight is bouncing up and down on a spring with height h(feet) after t seconds, given by h(t)=…

A:

Q: If the brakes on a car give the car a constant negative acceleration of 2k m/s?, where k is a…

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: Suppose that a particle moves along a straight line with velocity v(t) = 12 4t, where 0 ≤ t ≤ 2 (in…

A: For the particle moving in a straight line  Displacement 12t-2t2 Total distance travelled is 16…

Q: An 80-kg skydiver jumps out of an airplane (with zero initial velocity). Assume that k = 12 kg/s…

A: The skydiver's velocity is governed by the differential equation: And the solution to this equation…

Q: a ball is thrown straight upwards from a tower (40 feet high) so that its position, s in feet, at…

A:

Q: Two particles have positions at a time t given by the equations x1=t3-t and x2=6t2-t3 find the…

A: If x(t) represents position at time t then velocity = v(t) = dx/dt and acceleration = a(t) = dv/dt =…

Q: The submarine U.S.S. Dallas shoots a torpedo at the Soviet submarine V.K. Konovalov, which is 6732…

A: Use the equations of motion to solve the following problem. Use the given data and proper equation…

Q: Solve the problem. A body of mass m is moving in a straight line with an initial velocity of 2 m/s…

A: Given:-   acceleration⇒6t2-2t+4initial  velocity  of 2m/sec  from origin at  t=0,a=acceleration;…

Q: At the instant the traffic light turns green, a car that has been waiting at an intersection starts…

A:

Q: dv dt    = −kv2 An object moving through the water has an initial velocity of 40 m/s. Two seconds…

A: As the given differential equation is: dvdt=-kv2 Given conditions are:  t=0 , v=40 mst=2s, v=30 ms…

Q: a car move with an initial velocity of * 50 m/s to the right, determine its position when t=15 s, if…

A: This is a problem related to newton's law of motion. Based on the general formula and concept we…

Q: If the brakes on a car can give the car a constant negative acceleration of 2k m/s2 , where k is a…

A: Here is the solution

Q: A parachutist whose mass is 65 kg drops from a helicopter hovering 1500 m above the ground and falls…

A: Let y (t) be the Parachutist’s height above the ground. y (0) = 1500 m  ,  y’(0) = 0 and m y’’+ b y’…

Q: A projectile is released with an initial (vertical) velocity of 110 m/s. Use the formula…

A: The velocity of particle at any time t is When the particle reach its maximum height , its velocity…

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: 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: A ball is thrown upward from a height of 0.1 m at an initial speed of 36 m/sec. Acceleration…

A: Given the initial velocity of the ball is u=36 m/s, the acceleration is f=-9.8 m/s2 and was launched…

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

A:

Q: A traffic engineer monitors the rate at which cars enter a freeway during rush hour. From the data…

A:

Q: 8. An express train reducing its velocity to 40 km./h. , has to apply the brakes for 50 sec. . If…

A: Given that  Velocity of express train =40km/hr  Breaks apply at 50sec Retardation =0.5m/sec^2 To…

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: 32. In a healthy person of height.x inches, the average pulse rate in beats per minute is modeled by…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The effectiveness of a medicine is given by E(t) = 2t In t³, where t is time in hours after…

A: Given,  The effectiveness of the medicine Et = 2t lnt3  Where t is time in hours   We have to find…

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: An object of mass 20 kg is released from rest 4000 m above the ground and allowed to fall under the…

A:

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

A:

Q: * The velocity of a particle moving on a straight line is given by v(t) = t²e¯† meters per second at…

A:

Q: If a rock is thrown vertically upward from the surface ofMars with velocity 15 m/ s  , its height…

A: Given that a rock is thrown vertically upward from surface of Mars with velocity 15 m/s. Its height…

Q: If a cannonball is shot directly upward with a velocity of 144 ft per second, its height above the…

A: This question is about application of derivative

Q: A ball is thrown upward from a height of 3.6 m at an initial speed of 63 m/sec. Acceleration…

A:

Q: High-speed train is to have a maximum speed of 450 km/h. Regulations require that the brakes must…

A: We will find the constant rate of deceleration qs following .

Q: The minimum velocity required for an object to escape Earth’s gravitational pull is obtained from…

A:

Q: 4. The position of an object at time t is given by x = 34f - 8t + 2, where x is in feet and t is in…

A:

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

A:

Q: Explorers on a small airless planet used a spring gun to launch a ball bearing vertically upward…

A: A small airless planet used a spring gun to launch a ball bearing vertically upward from the surface…

Q: If a ball is thrown vertically upward from the roof of 32 foot building with a velocity of 80…

A: We need to find height, velocity, acceleration.

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: The velocity of any object, vgliding into atmosphere can be approximated as: V -mg (1-e²) C If the…

A: The velocity of sound at sea level is about 340 m/s. Newton-Raphson method uses the formula:…

Q: If a rock is thrown vertically upward from the surface ofMars with velocity 15m/s , its height after…

A: Given: If a rock is thrown vertically upward from the surface of Mars with velocity 15m/s, its…

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

A: Given, Velocity of the particle = v(t) = 14 - 3t  We have to find the displacement at time t = 2 So,…