General Curvilinear Motion 8 of 10 Select the elements from the Ist and add them
ID: 2074052 • Letter: G
Question
General Curvilinear Motion 8 of 10 Select the elements from the Ist and add them to the canvas setting the appropriate attribubes Learning Goal To be able to idenitifly the direction of the velocity and acceleration vectors during curvilinear motion and to use the concept of average acceleration and velocity to solve for unknown quantiies Previous Answers Asshown, a cart moves along a track.(Fore 1)The track is straight at point A and curved at points B and C Correct The acceleration's direction seemingly contradicts the experiences people have inside vehicles making tuns. While the vehide is tuming, its velocity is changing. Velooity is a vector, the vehicle is maintaining a constant speed, but the velocity's direction is changing Conseqently, the vehicles occupants seethat they are berg pahed in re aposte drection or the tin velocity is changing, each of their bodies is attempting to maintain a constant velocity. The vehicle's acceleration points in the same direction as the velocity's changing direction -toward the ourved path's center Part B t tangential acceieration from point A to point C. The speeds of the cart are 13.2 The cart travels the track again and now experiences a constant ft/s at point A and 15.4 ft/s at point C. The cart takes 4.50 s to go from point A to point C, and the cart takes 1.50 s to go from poirt B to point C.What is to cats speed at point Figure 1 of 1 Express your answer numerically to three significant figures in feet per second View Available Hintis) ft/s SubmitExplanation / Answer
For
t=4.50 s
acceleration of cart, a= (v-u)/t = (15.4-13.2)/4.50 = 0.4888 m/s^2
time taken from A to B = 4.50-1.50= 3 s
Velocity of cart at B, Vb = Va + at = 13.20 + 0.4888(3) = 14.6664 m/s
Note that, the acceleration calculated here is tangential acceleration. The centripetal acceleration or radial acceleration doesn't increase speed of the car, as it acts perpendicular to the direction of motion.
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