A stone is dropped from the upper observation deck of a tower, 900 m above the ground. (Assume g = 9.8 m/s².) (a) Find the distance (in meters) of the stone above ground level at time t. h(t) = (b) How long does it take the stone to reach the ground? (Round your answer to two decimal places.) (c) With what velocity does it strike the ground? (Round your answer to one decimal place.) m/s (d) If the stone is thrown downward with a speed of 8 m/s, how long does it take to reach the ground? (Round your answer to two decimal places.)

Q: The instantaneous speed of a particle moving along one straight line is v(t) = ate"2t where the…

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Q: A diver jumps off a cliff of height h at an angle θ = 260 (see figure). He reaches a maximum height…

A: Given Data : The range of the projectile is given as x =295m. The maximum height of the projectile…

Q: swallow is sitting on a tree branch a certain height above the ground and decides to fly away. Its…

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Q: Using highway mileposts, you clock 4 min,45 s to go 5 m. If the mileposts are accurate, what's the…

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Q: The position F of a particle moving in an xy plane is given by: ř (2.00t° – 5.00t )î +(6.00–7.00t*)}…

A: Givenposition vector=r→=(2.00t3-5.00t)i^+(6.00-7.00t4)j^where i^,j^represent unit vector along…

Q: Sind- TATAN An airplane takes off as shown following a trajectory described by equation y=xx2, where…

A: Given Equation of trajectory y=kx2 k=2×10-4 ft-1 v=110mph=161.33 ft/s at  x=1200 ft

Q: If an egg is dropped from rest and takes 0.8 seconds to hit the ground, what is the height, in…

A: Given Data: The time taken by egg to hit the ground is: t=0.8 s The gravitational acceleration is:…

Q: The rectilinear motion of a particle is given by s = v squared minus 9 where s is in feet(ft) and v…

A: Given: s=v2-9at t=0 ; s=0 and v=3 ft/s

Q: a shoe was dropped from a building and passes the third floorin 0.25 seconds. if each floor of the…

A: Given:Each floor of the building has a height = 4.5 metersTime,t=0.25 secFind high above the third…

Q: How far horizontally (in m) does the rock hit the ravine from your location?

A: The point at which path of rock cut the path of ravine will be the hitting point.

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

A: (a)Co-ordinates of stone’s initial position is,

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

A: (a) The kinematic equations for displacement in X and Y direction are shown below.

Q: A stone thrown downward with an initial velocity of 44.1 m/sec will travel a distance of S meters,…

A: We are given initial velocity. We are given initial height. We are also given the initial velocity.…

Q: A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed…

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Q: .  A student stands at the edge of a cliff and throws a stone horizontally over the edge with a…

A: Initial horizontal speed Vx=18.5 m/s Initial vertical speed Vy=0m/s h= 20 m

Q: A ball rolls off a table 100 cm high with a speed of 2.5 m/s. How far will it travel horizontally…

A: Given Horizontal velocity = ux = 2.5 m/s IInitial vertical velocity = uy = 0 m/s Height = h = 100 cm…

Q: A car travels a distance of 450 km in a straight line for 4.50 hours from Hither to Yon. The car…

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Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10° to…

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Q: The acceleration of an object (in m/s2) is given by the function a(t)=8sin(t)a(t)=8sin(t). The…

A: a(t)=8sin(t)a(t)=8sin(t) v(0)=−10v(0)=-10 m/s

Q: A baseball diamond is a square with side 90 ft. A batter hits the ball and runs toward first base…

A: Givenside of the square=90ftspeed =20 ft/s

Q: The equation r(t) = ( sin t) i + ( cost)j + (t) k is the position of a particle in space at time t.…

A: The velocity of a particle is the rate of change of displacement with respect to time. That is,…

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.