each of their bodies is attempting to maintain a constant velocity. The vehicle\

Question

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 curved path's center. Learning Goal To be able to identify 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 quantities Part B As shown, a cart moves along a track. (Figure 1) The track is straight at point A and curved at points B The cart travels the track again and now experiences a constant tangential acceleration from point A to point C. The speeds of the cart are 3.00 m/s at point A and 5.80 m/s at point C The cart takes 3.50 s to go from point A to point C, and the cart takes 2.00 s to go from point B to point C. What is the cart's speed at point B? Figure

Explanation / Answer

acceleration of cart, a= (v-u)/t = (5.8-3.0)/3.5 = 0.8 m/s^2

time taken from A to B = 3.5-2 = 1.5 s

Velocity of cart at B, Vb = Va + at = 3.0 + 0.8(1.5) = 4.2 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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