As the first human astronaut to land on a distant planet, you are standing on the edge of a small cliff. You toss a small experiment apparatus straight up in the air and it reaches a maximum height of 3.0 m above the cliff. The apparatus then falls to the bottom of the cliff, landing a distance 10 m below its initial position. Given that the acceleration due to gravity on the exoplanet is a = – -5.6j m/s?, how long did it take for the apparatus to get from the top of its trajectory to the bottom of the cliff? The coordinate system is set up such that "up" is in the +j direction. Pick the correct answer O 1.9 s O 1.5 s O 1.3 s O 2.2 s 1.0 s

Q: The trajectory of a rock ejected from the Kilauea volcano, with a velocity of magnitude 3.7 m/s and…

A: Given data: The initial velocity of the rock is, v0 = 3.7 m/s The angle of projection is, θ = 7.80…

Q: The trajectory of a rock ejected from the Kilauea volcano, with a velocity of magnitude 2.8 m/s and…

A: The vertical component of initial velocity is, viy=vi sinθ=2.8 m/s sin9.5°=0.46 m/s   The kinematic…

Q: 8. An astronaut on the Moon throws a baseball upward with an initial velocity of 10 meters per…

A: Given data : Eq. of baseball pathway on Moon : h=-0.8t2 +10t +2 Eq. of baseball pathway on Earth :…

Q: Io, a satellite of Jupiter, is the most volcanically active moon or planet in the solar system. It…

A: Acceleration due to gravity on lo (g') = 1.81 ms2Let the mass of fragment = m

Q: OK, this is the last time for one of these crazy adventures. THIS time, though, there is a window in…

A: Solution: We can use the equation of motion for an object in free fall to solve for the acceleration…

Q: OK, this is the last time for one of these crazy adventures. THIS time, though, there is a window in…

A:

Q: OK, this is the last time for one of these crazy adventures. THIS time, though, there is a window in…

A: In the given question, Initial height of the ball (h) = 2.15m Time required by the ball to hit the…

Q: (c4p19) A ball is shot from the ground into the air. At a height of 9.6 m, the velocity is observed…

A:

Q: A cannon fires a shell traveling 150 m/s in the horizontal direction and 150 m/s in the vertical…

A: Given: The intial velocity of the shell in the vertical direction is 150 m/s. The initial velocity…

Q: Here we go again (yes, this set of questions is starting to feel like Groundhog Day). You AGAIN…

A:

Q: A ball is suspended from a light 1.2 m string as shown. The string makes an angle of 25 degrees with…

A:

Q: A stone is thrown from a bridge horizontally with a speed of 20m/s.  The stone lands below 2.5…

A: Given- Ux = 20 m/s Uy = 0 m.s t = 2.5 sec As, stone will fall down with the speed of the gravity,…

Q: (a) A spaceship is projected vertically upward from the Earth's surface with an initial speed of…

A:

Q: A ball thrown vertically upward reaches a maximum height of 30. metres above the surface of Earth.…

A: The question is asking for the speed of a ball at its maximum height when it is thrown vertically…

Q: Here we go again (yes, this set of questions is starting to feel like Groundhog Day). You AGAIN wake…

A: Height ( s ) = 2.35 m Time ( t ) = 0.554 s Initial velocity ( u ) = 0 ms-1

Q: Figure shows the trajectory of ball in Planet X. The ball's position is shown at 1.0 s intervals…

A: Here we have velocity at t=1 sec we use v=u+at in y direction when ball reaches maximum height.…

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: 2. An object is initially suspended at the height yo = 200 m above the surface of the Earth and at…

A:

Q: box full of basketballs is dropped from an aircraft moving upward at 14 m/s. If it takes 9.5 s…

A:

Q: On planet #3, you fire a projectile horizontally from the edge of a vertical cliff 30.1 m above the…

A:

Q: Here we go again (yes, this set of questions is starting to feel like Groundhog Day). You AGAIN wake…

A: Height, h = 2.33 m Time, t = 0.276 s Intial velocity, u = 0 Acceleration, a = ?

Q: You are lucky enough to visit a particular location in the universe has zero gravity and no air…

A: Newton's first law of motion states that an object continues in its state of rest or state of…

Q: Passengers in a whirly-go-round (a "puke your guts out" amusement ride) are subjected to…

A: acceleration (a) = 2.5 g = 2.5×9.8 ms2= 24.5 ms2Length of pole (d) = 3.5 m

Q: Gravitational acceleration is 5.13 m/s2. Object is thrown upward with a velocity of 13.3 m/s. What…

A: The gravitational acceleration is ag = 5.13 m/s2. The object is thrown upward with an initial…

Q: Here we go again (yes, this set of questions is starting to feel like Groundhog Day). You AGAIN wake…

A: The objective of the question is to find the acceleration of the rocket. We can use the second…

Q: A chimpanzee is swinging through the jungle on a l = 24.2 m-long vine, as shown. If the chimpanzee…

A: h1= 11.8m  h2= 22.8 m

Q: Different satellites orbit the earth with a vast range of altitudes, from just a couple hundred km,…

A: A) When the ISS satellite orbits the earth, the gravitational force equals the centripetal force.…

Q: A roadrunner is cruising at 6 m/s without knowing the road under its feet is about to run out, at…

A:

Q: Here we go again (yes, this set of questions is starting to feel like Groundhog Day). You AGAIN wake…

A:

Q: A human expedition lands on an exoplanet. One of the explorers is able to jump a maximum distance of…

A: Given data:  A human expedition lands on an exoplanet  Maximum horizontal distance (Rmax) = 19.5 m…

Q: A rock is thrown upward with an initial speed of 18 m/s on Planet X, which has an acceleration due…

A: Given that A rock is thrown upward with an initial speed of (u) =18m/s After reaching to maximum…

Q: OK, this is the last time for one of these crazy adventures. THIS time, though, there is a window in…

A:

Q: In the Marvel comic series X-Men, Colossus would sometimes throw Wolverine toward an enemy in what…

A:

Q: catapult is placed 100 feet from the castle wall, which is 35 feet high. The soldier wants the…

A: GivenA catapult is placed 100 feet from the castle wall, Height of wall, H=35 ftInitial velocity of…

Q: 39. Suppose you could safely explore every terrestrial world in the solar system to conduct basic…

A: Given data:

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.