A 2540 kg test rocket is launched vertically from the launch pad. Its fuel (of negligible mass) provides a thrust force such that its vertical velocity as a function of time is given by v(t) = At + Bt2, where A and B are constants and time is measured from the instant the fuel is ignited. The rocket has an upward acceleration of 1.50 m/s2 at the instant of ignition and, 1.00 s later, an upward velocity of 2.00 m/s. (a) Determine A and B, including their SI units. (b) At 4.00 s after fuel ignition, what is the acceleration of the rocket, and (c) what thrust force does the burning fuel exert on it, assuming no air resistance? Express the thrust in newtons and as a multiple of the rocket’s weight. (d) What was the initial thrust due to the fuel?

Q: A skier descends along a slope that has an incline of 15.0o . Assuming the slope is frictionless,…

A:

Q: If an object initially at rest is given a velocity of: vx =-1.93 m/s and vy = 2.51 m/s. What is the…

A:

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.350 m and then…

A: Formula :- We will use the kinematic equation vf2=vi2+2ad  to solve the problem. Where viis the…

Q: Maegan goes to a swimming pool. After drinking the contents of a water bottle, she stoppers the top…

A:

Q: A single-stage rocket is launched vertically from rest, and its thrust is programmed to give the…

A:

Q: The vector position of a particle varies in time according to the expression r = 8.20 î – 7.80t j…

A:

Q: The velocity of a body depends on time according to the equation v = 20 + 0.1r² . The body is…

A: Givenv=20+0.1t2where,v=velocityt=time

Q: Consider an object on an inclined plane shown below. Which of the following statements is true…

A: Since, there is no motion in y direction,sovy=0and thereforeay = 0nowcomponent of velocity in x…

Q: Consider a projectile on Earth, where +z is vertically upward. A cannon that is 1.50 m tall sits on…

A: Height of the cannon, h=1.50 mHeight of the cliff, H=50.0 mMass of the cannon ball, m=6.50 kgInitial…

Q: The pilot of a jet transport brings the engines to full takeoff power before releasing the brakes as…

A: Given, Acceleration, a=0.36ga=0.36×9.8a=3.528m/s2 Initially jet is at rest. u=0 Final velocity at…

Q: the elevator's speed at

A:

Q: A 7500 kg rocket blasts off vertically from the launch pad with a constant upward acceleration of…

A:

Q: A small block is released from rest at the top of a frictionless incline. The distance from the top…

A:

Q: A 47.0-kg woman decides to take the elevator to the top of the 100.-m Space Needle in Seattle. On…

A: Given:  Mass of woman, m = 47.0 kg Height, H = 100 m Speed during return,  u = 4.00 m/s Stopping…

Q: A bullet is fired through a board 20.0 cm thick in such a way that the bullet's line of motion is…

A:

Q: Assume that you are driving down a hill in Jabaal Akhdar in a winter season. The inclination of the…

A: Given: angle of inclination: 7.8o μk=0.2 component of gravity acting on the car down the hill= g…

Q: A rocket is launched upward. The height of the rocket was 68 ft at the end of the thrust portion of…

A:

Q: An astronaut is exploring a planet which has a gravitational acceleration of only 5.59 m/s2. If the…

A: Given data The initial velocity is given as u = 13.7 m/s. The acceleration applied on the ball is…

Q: The velocity of a particle moving in the x-y plane is given by (7.15i +4.12j) m/s at time t = 5.37…

A: We are given velocity of particle. We are also given average acceleration. We hence find the final…

Q: In a local diner, a customer slides an empty coffee cup down the counter for a refill. The cup…

A:

Q: An F-18 Hornet fighter aircraft with a mass of 2.27x 104 kg is catapulted off an aircraft carrier.…

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

Q: Part F Determine the times at which v(t) has a local minimum and maximum. Express your answer as two…

A:

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.280 m and then…

A: See below

Q: A rocket sled having an initial speed of 107 mi/h is slowed by a channel of water. Assume that…

A:

Q: Assume that you are driving down a hill in Jabaal Akhdar in a winter season. The inclination of the…

A: As per the given data, Angle of inclination (θ) = 4.10; Coefficient of kinetic friction (µk) = 0.2;…

Q: A single-stage rocket is launched vertically from rest, and its thrust is programmed to give the…

A:

Q: The vector position of a particle varies in time according to the expression 6.80 î – 8.80t² j where…

A: Hello. Since you have posted multiple questions and not specified which question needs to be solved,…

Q: oped from a height H from the floor with the zero initial velocity. The ball is falling under the…

A:

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.310 m and then…

A:

Q: Find the velocity of the motorbike, in unit vector notation, when it reaches the maximum y position

A:

Q: A rocket is fired vertically upward from the surface of the earth at a constant acceleration of 20.0…

A: Given:initial velocity, u = 0 m/sacceleration, a = 20 m/s2time, t = 30 sacceleration due to gravity,…

Q: You wake up in a strange room, and this time you drop a ball from a height of 1.74 m, and observe…

A:

Q: An indestructible bullet 2.00 cm long is fired straight through a that is 10.0 cm thick. The bullet…

A: Average acceleration refers to the rate at which the velocity changes. Here, we calculate  the given…

Q: A Bullet with a mass of 5.2 grams is fired out of a rifle. The bullet’s initial velocity is 0…

A:

Q: The acceleration on a falling cricket ball is not constant due to air resistance.  The time…

A:

Q: While an elevator of mass 2620 kg moves upward, the tension in the cable is 48.9 kN. Assume the…

A: mass of elevator(m)=2620kg tension in the cable(T)=48.9 kN=48900N (ACTING IN UPWARD DIRECTION) g be…

Q: A rocket is launched upward. The height of the rocket was 82.9 ft at the end of the thrust and had a…

A: Apply the third kinematic equation at the end of the thrust and substitute the required values.

Q: In the figure, a body with a mass of 2 kg moves under the influence of two constant forces F1 = 5N…

A:

Q: A customer sits in an amusement park ride in which the compartment is to be pulled downward in the…

A: Since there are multiple sub-parts posted, we will answer the first three sub-parts for you. If you…

Q: A woodpecker's brain is specially protected from large accelerations by tendon-like attachments…

A: We have to find the acceleration of woodpecker's brain.

Q: An object has a constant acceleration of a=3 m/s^2 without other forces intervening. A second layer…

A:

Q: An elevator in the Taipei 101 skyscraper can start fromrest and accelerate to a maximum speed of 16…

A:

Q: A 3.20 kg toy rocket is launched from its platform and reaches a height of 253 m after 3.70 s. If…

A: Mass (m)=3.20 kg Height (h)=253 mTotal time taken (T)=3.70 s Time taken to before running out of…

Q: Falcons are excellent fliers that can reach very high speeds by diving nearly straight down. To pull…

A: While free fall of the falcon the acceleration falcon is experiencing is the acceleration due to…

Q: You are designing a high-speed elevator for a new skyscraper. The elevator will have a mass limit of…

A: Given:-The elevator will have a mass limit of 2400 kgmaximum ascent speed to be 18.0 m/sThe maximum…