A 7500-kg rocket blasts off vertically from the launch pad with a constant upward acceleration of 2.25 m/s2 and feels no appreciable air resistance. When it has reached a height of 525 m, its engines suddenly fail; the only force acting on it is now gravity. (a) What is the maximum height this rocket will reach above the launch pad? (b) How much time will elapse after engine failure before the rocket comes crashing down to the launch pad, and how fast will it be moving just before it crashes? (c) Sketch ay-t, vy-t, and y-t graphs of the rocket's motion from the instant of blast-off to the instant just before it strikes the launch pad.

Q: Problem 2. A ball is thrown straight upward in the air at a speed of 15.0 m/s. Ignore air…

A: Given- Speed of ball (V) = 15 m/s. Acceleration due to gravity (g) = 9.8 m/s2

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: A bungee jumper falls for 2.4 s before the bungee cord begins to stretch. Until the jumper has…

A:

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

A:

Q: (a) The velocity of a particle changes from v = 2î + 5ĵ -3k m/s to V2= 5î - 7j+ 2k m/s in 2 s. What…

A:

Q: A model rocket is launched straight upward with an initial speed of 44.0 m/s. It accelerates with a…

A:

Q: A parachutist after bailing out falls 50 m without friction. When parachute opens, it decelerates at…

A:

Q: A ball is thrown straight up with an initial speed of 32.9 m/s.  Find a height (in meters) that the…

A:

Q: A rocket sled, initially traveling at the rate of v = 160 meters per second, slows down by opening a…

A: Given data: The velocity is v1=160 m/s. The velocity is v2=12 m/s. The value of the constant is…

Q: The DR Horton Tower in Fort Worth is 400 m tall. Joe wants to set the world’s stair climbing record…

A: The expression from kinematics,

Q: The parachutist descends for 130 m in free fall, and then opens the parachute, which slows it down…

A:

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

A:

Q: A diver springs upward with an initial speed of 2.1 m/s from a 3.5-m board. (a) Find the velocity…

A:

Q: (a) The velocity of a particle changes from vỊ = 28 + 5ŷ -3k m/s to v2 = 5î - 7j+ 2k m/s in 2 s.…

A: Initial velocity of the particle is Final velocity of the particle is The velocity changes from v1…

Q: A ball is thrown directly upward from an initial position of 2.11m above the ground. The ball…

A:

Q: A ball of mass 5 sluts is dropped from a height of 800 ft with no initial velocity. The body…

A:

Q: magnitude of the average acceleration

A: Given data: Final speed v= 5.27 m/s Time t=1.14s

Q: As a runaway scientific balloon ascends at 19.6 m/s, one of its instrument packages breaks free of a…

A: The velocity-time graph is shown below. The initial velocity of the balloon when it ascends is…

Q: A hot-air balloon is ascending at the rate of 12 m/s and is 61 m above the ground when a package is…

A:

Q: (a) The velocity of a particle changes from vı = 2î + 5f -3k m/s to v2 = 5î - 7j+ 2k m/s in 2 s.…

A: Given: Part a) Part b)

Q: An object is thrown upwards with a speed of 14 m/s. How long does it take to reach a height of 5.0 m…

A: Given:- Initial speed vi=14m/s We know that second equation of motion is givens as…

Q: As a runaway scientific balloon ascends at 19.6 m/s, one of its instrument packages breaks free of a…

A:

Q: For this problem assume upward is the positive direction. A bullet is fired straight up with an…

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 ball with mass m kg is thrown upward with initial velocity 19 m/s from the roof of a building 24 m…

A: Approach to solving the question: A)    To find the maximum height from the ground, first find the…

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: An object is thrown upward with an initial velocity of 17.3 m/s from a location where the…

A: Given,  Ball thrown upward (consider upward direction positive). then  Initial velocity of ball (vi)…

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.330 m and then…

A:

Q: A single-stage rocket is launched vertically from rest, and its thrust is programmed to give 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: (a) The velocity of a particle changes from v1 = 2i + 5j -3k m/s to v2 = 5i - 7j+ 2k m/s in 2 s.…

A: Initial velocity  v1 = 2i + 5j -3k m/s Final velocity v2 = 5i - 7j+ 2k m/s Time interval in which…

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

A:

Q: An rock is thrown straight up with an initial velocity of 18.5 m/s. What maximum height will the…

A: Given data:  Initial velocity (V0) = 18.5 m/s Acceleration due to gravity (a) = 9.80 m/s2,…

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.320 m and then…

A:

Q: A basketball player jumps straight up for a ball. To do this, he lowers his body 0.290 m and then…

A: in this question we use equation  of motion.

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

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: A 20-kg child slides down a playground side with a constant acceleration of a=1.3m/s^2 parallel to…

A:

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…

Q: (a) What is the magnitude of the average acceleration of a skier who, starting from rest, reaches a…

A:

Q: An object is thrown vertically downward at 18 m/s from a window and hits the ground 1.6 s later.…

A: Here the object falls under the influence of gravity and has acceleration equal to the acceleration…

Displacement, Velocity and Acceleration

In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.

Linear Displacement

The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.