Velocity is related to acceleration and distance by the followingexpression: v2 = 2axp. Find the power p that makes this equationdimensionally consistent

Q: Which coefficient in the equation x ( t ) = A t 2 + B t + C is most closely related to initial…

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Q: An Olympic bobsled goes 41 m in 2.6 s. How fast was it travelling in m/s? Be sure to answer with the…

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Q: The coordinate of an objec is given as a function of time by.x(1)=7t-3t2, where in meter and t in…

A: Given, Position, x(t)=7t-3t2

Q: 6 – 27 11.5 The motion of a particle is defined by the relation x = 12t + 3t +3, where r and t are…

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Q: The velocity of a parachutist during free fall is f (t) = 60(1 - e-0.17t) meters per second. (Recall…

A: The physical quantities are classified into two types- scalar and vectors. Scalar quantities are…

Q: When will the particle reach constant velocity given the position versus time curve equation of  x =…

A: Given that:- Position V/s time curve equation is given in the question.

Q: 4. An object's position is described by the following polynomial for 0 to 10 s. S = 2 t^4 - 4 t^3 -…

A: V= ds/dt. Differenting s with respect to time we get V=8t3-12t2-24t

Q: If the speed at x = 1, v(r = 1) = 3 m/s then the speed at x = 0, v(x=0) is:

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Q: What is the average velocity between t=1s and t=2s for the function x=3t3+2t2-10t+5?

A: Given data:  Position as function of time x(t) = 3t3 + 2t2 - 10t + 5 Required: The average velocity…

Q: The velocity of a moving vehicle is given by the equation v = (2t + 3)4 e task is to: a) Use the…

A: Given data: Velocity of a moving vehicle v = (2t + 3)4  Required: Acceleration (a)

Q: The position, x, of a longboarder as a function of time, t, is given by x = (-3.22 m/s)t + (7.0 m)…

A: The speed of an object is defined as the time rate of change of its position: v=dxdt

Q: Plot the material acceleration vectors. 1.68Ct0725 plot this

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Q: The box travels from point A to point B along the curvilinear path that is shown in the figure which…

A: According to company policy I have to solve only three questions.

Q: A nickle is dropped from a hot-air balloon that is 320 m above the ground and rising vertically at…

A: At the maximum height, the velocity is zero,

Q: If it takes a ball dropped from rest 2.208 s to fall to the ground, from what height H was it…

A: Given: Initial velocity of ball, u = 0            Time taken by ball to fall to the ground, t =…

Q: Surprisingly, very few athletes can jump more than 2 feet (0.6 m) straight up. Use d = 1/2gt2 and…

A: The time that the athlete spends in moving upwards is,

Q: A beycle is moving along x-axis acconding to the equation 5-2-1where x is in meters and t is in…

A: Initially, from the given data, we need to find v(t) by differentiating x(t) with respect to t

Q: 5) Placido pulls a rope attached to a wagon through a pulley at a rate of q m/s. With dimension as…

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Q: acceleration

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Q: A student did the free fall experiment in his Physics class and recorded the data shown below. Find…

A: Working equation:

Q: If the ball bounces straight up and returns to the floor 3.1 s after first striking it, what was the…

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Q: An Olympic bobsled goes 41 m in 2.6 s. How fast was it travelling in m/s? Be sure to answer with the…

A: Speed is given by V = distance/time

Q: A student is testing the UAM equations by measuring the time it takes for light-weight plastic balls…

A: (D) The acceleration of the plastic balls is not uniform is the most likely cause of the large…

Q: A dragster accelerates to a speed of 112m/s over a distance of 398m. Determine the acceleration…

A: Given data: Speed of dragster is, v=112 m/s. Distance covered is, s=398 m.

Q: A block is given an initial velocity of 12 m/s up a frictionless incline of angle of 37°. How far up…

A: Acceleration down the incline a=g sinθ

Q: Does this mean that time is a vector quantity?

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Q: The motion of a particle starting from rest is governed by the a-t curve as shown in the figure.…

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Q: Consider the following data for the table below: • Distance travelled by the cart = 108 cm • Height…

A: The experimental calculations of the acceleration can be done using the distance travelled and time…

Q: If a 15kg ball takes 44 seconds to strike the ground when released from rest, at what height (meter…

A: t=44 sec m=15kg g=10 m/s2

Q: The figure below shows the Hoover Dam Bridge over the Colorado River at a height of 271 m. If a…

A: We know, under the motion with constant acceleration (a), the distance(S) traveled by and object in…

Q: velocity function

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Q: A ball was dropped from the top of a building If the ball was from a height of 311 meters from the…

A: According to the Newton's laws of motion , the final velocity of ball is calculated by using the…

Q: A dust particle in a controlled environment was defined by the relation a = kt². a) If v = -8 m/s…

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Q: The motion of the material point in a plane is given by the equations x = 12 Cos (pit / 6) and y =…

A: Given: Equations of motion are: x= 12 cosπ/6 y=12 sinπ/6

Q: 攀 3. 2. 7. A bug begins to crawl up a vertical wire at time t 0. The velocity v of the bug at timme…

A: A V-t is shown in the figure.

Q: Given the illustration below, a ball is thrown at A with Vo= 45 ft/s and e=0.90 at A. Compute the…

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Q: A block of ice slides down a ramp. For which height and base lengths is the acceleration the…

A: As we know-  Expression for acceleration of the block on ramp -  a=g×sinθ .....(1) Where,…

Q: An object is dropped at rest from the roof of a building of height h. Neglect air resistance. In…

A: The remaining height of the building is, s=h-h5=4h5 When the object is dropped from the rest, the…

Q: The figure below shows a graph of vy versus t for the motion of a motorcyclist as he starts from…

A: Given  Velocity time graph  Slope of velocity time graph gives acceleration.

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A: Given: The velocity of the object is. v=kx3-4x2+6x…

Q: During each cycle, the velocity v (in meters per second) of a robotic welding device is given by…

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Q: If the ball in the experiment is given an initial downward velocity instead of just being released,…

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Q: An object has an initial velocity v, = 4î + 5ĵ m/s. After 10 seconds of motion, its velocity %3D was…

A: Given V0→  =4 i^ +5 j^  m/sVf→  =-6 i^ +15 j^    t  = 10 s

Q: Given the illustration below, a ball is thrown at A with Vo= 125 ft/s and e=0.90 at A. Compute the…

A: Given data: The initial velocity of ball is v0=125 ft/s. The coefficient of restitution is e=0.9.…

Q: A particle moves along the x axis. Its position is given by the equation x = 2 + 3t – 4t?, with x in…

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Q: The speed v of a bullet satisfies the relation vt = 84 m, where t = 0.20 s. Find v. m/s

A: It is known that speed is given as, vt=84

Relative Velocity

It is a measurement of an object with regards to the other object which is moving or stable or stationary. For example, if we are traveling in a bus and the bus is moving at speed of 50km/hr, then our speed is according to the nearby passenger on the bus is zero. According to them, we are not moving. But if one person standing on the ground or road observes us from outside of the bus, according to him we are moving at a speed of 50km/hr and the bus is also moving at a speed of 50km/hr. Now, the motion is recognized by the observer, it depends on a frame of reference or observer. This is motion called relative motion.