Physics, 13.11.2019 21:31 kiramartin3

Acar turns a corner at 5 mph. if its speed is increased to 15 mph, its centripetal acceleration is:

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Centripetal acceleration, property of the motion of a body traversing a circular path. The acceleration is directed radially toward the centre of the circle and has a magnitude equal to the square of the body's speed along the curve divided by the distance from the centre of the circle to the moving body.

Answer from: kimmosley80

The centripetal acceleration becomes 9 times to that of initial acceleration.

Explanation:

It is clear that the car is in circular motion. While possessing circular motion, any object undergoes centripetal acceleration. This centripetal acceleration is always directed towards the centre.

And due to this force itself, a body can rotate, otherwise, it will move away into the centre. The centripetal acceleration depends upon the magnitude of the velocity of the car with which it is running. Hence, let us take two instances.

Instance 1,

Velocity of the car 1, $v_{1}$ = 5 mph.

Instance 2,

Velocity of the car 2, $v_{2}$ = 15 mph

$a_{c}=\frac{v^{2}}{r}$

Now, solving by dividing equation for both instances using the above mentioned formula,

$\frac{a_{1}}{a_{2}}=\frac{v_{1}^{2}}{v_{2}^{2}}$

then, after simplification, we get

$a_{2}=a_{1} \times \frac{v_{2}^{2}}{v_{1}^{2}}=a_{1} \times \frac{15^{2}}{5^{2}}$

And, hence,

$a_{2}=9 a_{1}$

Answer from: Quest

Is a vector quantity that refers to "the rate at which an object changes its position." imagine a person moving rapidly - one step forward and one step back - always returning to the original starting position. while this might result in a frenzy of activity, it would result in a zero velocity. because the person always returns to the original position, the motion would never result in a change in position. since velocity is defined as the rate at which the position changes, this motion results in zero velocity. if a person in motion wishes to maximize their velocity, then that person must make every effort to maximize the amount that they are displaced from their original position. every step must go into moving that person further from where he or she started. for certain, the person should never change directions and begin to return to the starting position.

Answer from: Quest

i really dont know but i will try okay.

so i think u would just add all them up and get your answer..

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Acar turns a corner at 5 mph. if its speed is increased to 15 mph, its centripetal acceleration is:...