A tortoise races a rabbit by walking with a constant speed of 2.51 cm>s for 12.27 s. How much distance does the tortoise cover?

Q: A juggler throws a bowling pin straight up with an initial speed of 7.3 m/s from an initial height…

A:

Q: A rocket is moving vertically upward with speed 370ˍm/s. What acceleration is needed todouble its…

A: The expression for the required acceleration from kinematics is,

Q: An airplane needs to reach a velocity of 203.0 kan/h to take off. On a 2000m runway, what is the…

A:

Q: A car travels in the +x-direction on a straight and level road. For the first 4.00 s of its motion,…

A:

Q: An object has an initial velocity of 10 m/s and an acceleration of 3 m/s squared. How long will it…

A: The acceleration is defined as the rate of change of velocity.

Q: A Piper Cub is a small airplane that must achieve a speed of 20 m/s for takeoff. If it starts from…

A: Given data:   Initial velocity (u) = 0 msFinal velocity (v) = 20 ms  Distance (d) = 1.0 km = 1000…

Q: A juggler throws a bowling pin straight up with an initial speed of 5.8 m/s from an initial height…

A: Data provided: Initial velocity (V0) = 5.8 m/s, upward Initial height (h) = 4.3 m

Q: A juggler throws a bowling pin straight up with an initial speed of 5.8 m/s from an initial height…

A: Given: The initial speed of the bowling pin = 5.8 m/s,  the initial height of the bowling pin = 2.3…

Q: A ball is thrown directly downward with an initial speed of 7.15 m/s, from a height of 30.7 m. After…

A: Initial speed,

Q: A rock is thrown down into the well with an initial downward speed 3.6of m/s. The rock hits the…

A: Let the initial speed of the rock is denotes by u and the time taken to hit the bottom is t. The boy…

Q: A solid iron ball is thrown directly downward, with an initial speed of 8.15 m/s, from the top of a…

A: According to the kinematics equation, find the final velocity of the iron ball.…

Q: If the velocity of an object is given by V = 9* t*2.1*t* +7, when x0 = 4, what is its displacement…

A:

Q: If the velocity of an object is given by V= 8*t^2+2-5*t^2+4, when x0=9, what is its displacement…

A: Given that :velocity, V=8t2+2-5t2+4                V=3t2+6time, t=1 sec

Q: A Cessna aircraft has a lift-off speed of 120 km/hr. What minimum constant acceleration does this…

A: Given data :  Initial velocity (Vi) = 0 m/s, rest Final velocity (Vf) = 120 km/hr Distance traveled…

Q: At time t=0, a body has a velocity of 5 meters per second, EASTWARD; at time t=2 seconds, its…

A: ( In our convention have taken the velocity positive in the westward direction.)

Q: A motorist has to travel 3.50km in a city where his average speed should not exceed 25km/h. If he…

A: Distance traveled by the motorist is D = 3.50 km Initial average speed of the motorist is u = 25…

Q: .A car travels in the +x-direction on a straight and level road. For the first 4.00s of its motion,…

A:

Q: A certain aircraft has a liftoff speed of 113km / h .What minimum constant acceleration does the…

A: Given : Initial speed (u) = 0 km/h Liftoff speed (v) = 113 km/h =31.39 m/s Takeoff distance (S) =…

Q: A football player has an initial speed of 8 m/s and is stopped by a defensive lineman in a time…

A: Initial speed (v) = 8 m/sfinal speed (V) = 0 m/stime taken = 0.2 seconds

Q: A juggler throws a bowling pin straight up with an initial speed of 7.5 m/s from an initial height…

A:

Q: An atom is constrained to move along the horizontal axis only. At time t = 0.5 s, the atom is at x =…

A:

Q: A person throws a ball upward into the air at an initial velocity of 15.0 m/s. Calcate the time (t)…

A: Here acceleration (a) is g = 9.8m/s^2 (this will be negative since it is going in the opposite…

Q: A juggler throws a bowling pin straight up with an initial speed of 5.8 m/s from an initial height…

A: Data provided: Initial velocity (V0) = 5.8 m/s, straight upward Initial height = 2.9 m

Q: The runway of an airport in Oman has been designed such that the lowest acceleration for a plane to…

A: Write the given values of the problem- Acceleration(a) a=14.3 ms2 speed(v) v=54.9 m/s u=0

Q: A juggler throws a bowling pin straight up with an initial speed of 9 m/s from an initial height of…

A: Given data: Initial velocity (v0 ) = 9 m/s, upward  Initial height (h) = 3.3 m Required:  Time taken…

Q: A Cessna aircraft has a lift-off speed of 135 km/h. What minimum constant acceleration does this…

A: Given data The lift speed of the aircraft is given as v = 135 km/h. The take-off run is given as s…

Q: The height of a helicopter above the ground is given by h = 3.15t^3, where h is in meters and t is…

A: Finding the time taken by the mailbag to reach the ground.Given information:The expression of height…

Q: A rock is thrown down into the well with an initial downward speed 7.5of m/s. The rock hits the…

A: Given: Initial speed u=7.5 m/s Time t=9.5 s

Q: Motorist travels for 3.0 h at 80 km/h and 2.0 h at 100 km/h. What is her average speed for the trip?

A: Average speed =total distance /total time taken

Q: A ball is thrown vertically upward with an initial velocity of 14.2 m/s. How long (in second) will…

A: The first equation of motion is  v = u + a t  where, u is the initial velocity, v is the final…

Q: Velocity and acceleration of a particle at time t = 0 are u = (2î + 3j) m/s and a = (4î +2j) m/s?…

A:

Q: How long to reach max height? Initial velocity 36m/s at 57.0 degrees. Ignore air resistance

A: GivenInitial velocity u = 36.0 m/sProjectile angle θ = 57.0o

Q: A jetliner, travelling northward, is landing with a speed of 69 m/ s. Once the jet touches down, it…

A: Given- Initial velocity (u) = 69 m/s Final Velocity (v) = 6.1 m/s Distance (s) = 750 m

Q: What is the acceleration of the object in the x direction at t = 1.24 seconds?

A: Given, So, the acceleration of the object is

Q: A car travels in the +x-direction on a straight and level road. For the first 4.00 s of its motion,…

A: Given thatFor first 4sec of its motion, the average velocity of the car (v)=6.25 m/sec. It is…

Q: A ball is thrown straight upward with a velocity of 16 m/s. How much time passes before the ball…

A: Given Initial velocity in vertical direction= u = 16 m/s motion is free fall motion Therefore…

Q: An athlete sprints in a straight line for 50.0 m in 8.00 s, and then walks slowly back to the…

A: a) The required average sprint velocity is, b) The required average walking velocity is,

Q: A 747 airliner reaches its takeoff speed of 156 mi>h in 35.2 s.What is the magnitude of its…

A: Given Data: The final speed of airliner is, v=156 mi/h The time required to takeoff is, t=35.2 s…

Q: A engineer was accidentally thrown(downwards) overboard at an initial velocity of 6m.sand was in…

A:

Q: An electron, starting from rest and moving with a constant acceleration, travels 2.0 cm in 5.0 ms.…

A:

Q: A particle is constrained to travel along the path. If x = (4t*) m, where t is in seconds, determine…

A: Given  X(t) = 4× t4 m  Y2(t) = 4× X(t) The acceleration at time t = 0.5 sec is given as

Q: An apple is thrown vertically upward with an initial velocity of 10.3 m/s. How long does it take for…

A: Ans:- Image-1

Q: A juggler throws a bowling pin straight up with an initial speed of 8.1 m/s from an initial height…

A: Using kinematic equation, the expression for find the time is v=u-gtt=ug Substitute values in the…

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.