Physics, 15.10.2019 07:30 putaprincess16

An arrow in flight has an initial velocity of 65 meters per second and 10 seconds later it has a velocity of 35 meters per second. which is the acceleration of the arrow?

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Answer from: maddo36

From the question, we know that after 10 seconds are passed the velocity GOES DOWN.

Based on that, we can infer that the acceleration of the arrow will be negative.

in 10 seconds, the velocity goes down 30 meter/second, (65 - 35)

so it would be 30/10 = -3 m/s/s in the same direction of travel

Answer from: jimena15

Explanation:

Given that,

Initial velocity of arrow, u = 65 m/s

Final velocity of arrow, v = 35 m/s

Time taken, t = 10 seconds

The acceleration of the arrow is given by the rate of change of velocity per unit time. It is given by :

$a=\dfrac{v-u}{t}$

$a=\dfrac{35\ m/s-65\ m/s}{10\ s}$

$a=-3\ m/s^2$

The arrow in flight is decelerating. Hence, this is the required solution.

Answer from: Quest

cant without the picture! ?

Answer from: Quest

force is based upon mass and acceleration.the statement is not always true.

it can be explained from newton's second law of motion.

as per newton's second law of motion the rate of change of momentum is directly proportional to the applied force and takes place along the direction of force.

mathematically it can be written as -

$f\alpha \frac{dp}{dt}$

⇒ $f= k \frac{dp}{dt}$

here k is the proportionality constant whose value is 1.

$f=\frac{dp}{dt}$

$f= \frac{d[mv]}{dt}$

$f= m\frac{dv}{dt} +v\frac{dm}{dt}$

$f=ma+v\frac{dm}{dt}$ [a is the acceleration=dv/dt]

hence we see that force not only depends on mass and acceleration but also on velocity and rate of change of mass. force f will depend on mass and acceleration only when mass is constant.

hence the statement that force is based upon mass and acceleration is false.

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