Compute the normal acceleration when he reaches the bottom of the profile (m/s^2)

Q: A particle which moves with curvilinear motion has coordinates in millimeters which vary with the…

A: The coordinates of the particle is given as,  x=5.4t2-6.4t. y=5.4t2-t34.9. TO DETERMINE: (a) The…

Q: The magnitude of the velocity of a point which moves a long a vertical axis is v = k.t – 5 . When t…

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Q: The x-coordinate of a particle in curvilinear motion is given by x = 4.8t³-2.7t where x is in feet…

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Q: A rocket is fired from rest at x = 0 and travels along a parabolic trajectory described by…

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Q: Find the speed and direction of an object with v,= 2.0 cm/s and vy= 3.0 cm/s. O 3.6 cm/s, 56° from…

A: Given data: Vx = 2.0 cm/s Vy = 3.0 cm/s Required:  The speed and direction of the object

Q: A speedboat increases its speed uniformly from vi = 20.0 m/s to vf = 29.0 m/s in a distance of  Δx =…

A: Given data:  Initial velocity (Vi) = 20.0 m/s Final velocity (Vf) = 29.0 m/s Distance (Δx) =…

Q: In pursuit of both adventure and treasure, the pirate Jack Sparrow sails his ship on the open ocean.…

A: The ship starts at x= +400 km, y= -200km and undergoes three displacements D1, D2 and D3. Initial…

Q: A projectile is fired northward from a height of 157m. Assuming that the x-axis is pointing east,…

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Q: The acceleration is the second derivative of the position function X=6,8t + 8,5t^2

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Q: A train slows down as it rounds a sharp horizontal turn, going from 90.0km/h to 50.0km/h in the…

A: Total acceleration of the train moving in circular path is given by: a = at i + ac j Magnitude of…

Q: The position function of a particle moving in space is given by r(t)= (cost)i + (sin t)j + (√3t)k.…

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Q: A particle which moves with curvilinear motion has coordinates in millimeters which vary with the…

A: Given x= 1.7 t2-4.5ty=4.8t2-t34.7t=3.5 s

Q: How far above the surface of Earth do you have to go before the acceleration due to gravity drops by…

A: The acceleration due to the gravity on the earth surface is constant and has a value 9.81m/s2, But…

Q: A particle which moves with curvilinear motion has coordinates in millimeters which vary with the…

A: The x-coordinate of the particle:  (in milimeters)The y-coordinate of the particle:  (in milimeters)

Q: Make a motion chart for a cannonball launched with an initial speed of 50m/s. Neglect drag and the…

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Q: A car moves along a straight line whose equation of motion is given by V = 5t3-3t²+2 where (V) is in…

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Q: Salim throws a ball at a height of y, = 4 m above ground with an initial speed of v. 10.7 m/s at an…

A: Given The maximum height of the projectile is y0=4 m. The initial speed of the projectile is…

Q: Initially, an object in uniform circular motion (assume clockwise motion) has a velocity m vector…

A: The acceleration by any object in uniform circular motion is define by a=v2r Here, a is…

Q: Calculate the speed (in m/s) a spherical rain drop would achieve falling from 3.00 km in the absence…

A: The height from which the raindrop falls, h=3.00 km = 3.00×103 m The diameter of the raindrop, D=3…

Q: A particle which moves with curvilinear motion has coordinates in millimeters which vary with the…

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Q: Problem 10: On the moon the acceleration due to gravity is 1/6 of Earth's. A ball is thrown straight…

A: Given data: The acceleration due to gravity on the moon = g/6 Where g is the acceleration due to…

Q: A speedboat increases its speed uniformly from vi = 20.0 m/s to vf = 29.0 m/s in a distance of Δx =…

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Q: A particle which moves in two-dimensional curvilinear motion has coordinates in millimeters which…

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Q: suppose that a quadratic fit to a position plot yields the following fit results:…

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Q: A particle which moves with curvilinear motion has coordinates in millimeters which vary with the…

A: Given: The motion of the particle is x=4.9 t2-7.0 t and y=6.1 t2-t35.1.  To calculate: The value of…

Q: An electron's position is given byr=4.0ti+5.0t] with t in seconds and rin meters. (a) In unit-vector…

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Q: The vector position of a particle varies in time according to the expression F-4.801-7.00r 1 where F…

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Q: (a) A soccer player kicks a rock horizontally off a 31 m high cliff into a pool of water. If the…

A: height of cliff (h) = 31 m time taken to hear the sound  = 2.67 s speed of sound in air = 343 m/s

Q: A particle's position is given as [(2.00 + 0.500 sin(0.4004))i + (3.00 + 0.500 sin(0.4004))5]…

A: Given: x(t) = [2.00+0.500 sin(0.400t)]i^ + 3.00+0.500 sin(0.400t)j^ +2.00t2 k^

Q: . Find the

A: Given: To find the acceleration and the velocity is given as,

Q: A particle is moving along a curved path. At a certain instant when the slope is 0.75, ax = 2 m/s2…

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Q: Hon due to gravity g 9.80 m/S Useful Equations: x = xo + voxt +azt² vž = vổx + 2ax(x – x) Vx = Vox +…

A: 1) At maximum height the final vertical velocity is zero. that is, vy2=voy2+2a(y-yo)    a=-9.80…

Q: On a strange planet the acceleration due to gravity is 20 ft/s^2 downwards towards the planet…

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Q: determine the two times t₁ and t2 when the velocity of the ball makes an angle of 34° with the…

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Q: A ski jumper travels down a slope and leaves the ski track moving in the horizontal direction with a…

A: Distance travelled along X-direction can be given by x=vt.............(1) Distance travelled along…

Q: A point moves on a curvilinear path with equation (S = t + 5t). the total acceleration is (8.39)…

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Q: In a computer game, an  airplane starts at (1, 6) (in cm) on the curve  y=5+(1.6t+1)^−1.3and moves…

A: Given that: Initial co ordinate (1,6) in  cm y=5+(1.6t+1)-1.3 cm vx=1.6 cm/s

Q: A projectile moves along the curve y = 2x + (x2/50), where x and y are in ft. If the velocity…

A: Y = 2X+ X²/50  --->(1) Vy = dY/dt = 24  ft/s  Let the x-component of the velocity be Vx . =>…

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.