As a car goes around a curve, the driver increases its speed. This means the car has two accelerations. What are the directions of these two accelerations?

Short Answer

Expert verified
Answer: The two accelerations experienced by the car are tangential acceleration and centripetal acceleration. Tangential acceleration is directed along the curve in the direction of the car's motion, while centripetal acceleration is directed towards the center of the curve.

Step by step solution

01

Identify the types of acceleration in the problem.

In this exercise, the car is going around a curve, which means that it is experiencing centripetal acceleration. Also, as its speed is increasing, the car experiences tangential acceleration. Both of these accelerations act on the car differently.
02

Describe the direction of tangential acceleration.

Tangential acceleration is the acceleration in the direction along the curve or tangent to the path of the car. This means that as the car increases its speed, the tangential acceleration is directed along the path of the car in the direction it is moving.
03

Describe the direction of centripetal acceleration.

Centripetal acceleration is the acceleration directed toward the center of the curve. As the car goes around the curve, centripetal acceleration keeps the car moving in a circular path by constantly changing its direction, making it point towards the center of the curve that the car is following. Overall, the two accelerations experienced by the car are tangential acceleration, which is directed along the curve in the direction of motion, and centripetal acceleration, which is directed towards the center of the curve.

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