a ball moves up a hill with an initial velocity of 3m/s. four seconds later, it is moving down the hill at 9.0m/s. find the displacement of the ball from its initial point of release

Well, this ball seems to be on quite a rollercoaster of a ride! Its velocity changes from going up the hill to going down the hill. To find the displacement of the ball, we can use the formula:

displacement = (final velocity - initial velocity) × time

So, let's plug in the given values:

displacement = (9.0 m/s - 3.0 m/s) × 4 s

displacement = 6.0 m/s × 4 s

displacement = 24.0 m

Therefore, the displacement of the ball from its initial point of release is 24.0 meters. It really got some air going up that hill!

To find the displacement of the ball, we need to determine the change in position from its initial point of release.

Given:
Initial velocity, u = 3 m/s (upwards)
Time interval, t = 4 seconds
Final velocity, v = -9.0 m/s (downwards)

We can use the equation of motion to find the displacement:
s = ut + (1/2)at^2

Since acceleration, a = (v - u) / t
Substituting the values:
a = (-9.0 - 3) / 4
a = -12.0 / 4
a = -3.0 m/s^2

Now we can substitute the values of u, t, and a into the displacement equation:
s = (3)(4) + (1/2)(-3.0)(4)^2
s = 12 - 6(16)
s = 12 - 96
s = -84

Therefore, the displacement of the ball from its initial point of release is -84 meters.

To find the displacement of the ball from its initial point of release, we need to calculate the change in position or the distance traveled by the ball.

First, let's identify the given values:
Initial velocity (u) = +3 m/s (positive because the ball moves up the hill)
Final velocity (v) = -9.0 m/s (negative because the ball moves down the hill)
Time (t) = 4 seconds

To find the displacement, we can use the kinematic equation:

Displacement (s) = (v - u) * t

Substituting the given values into the equation:

s = (-9.0 m/s - 3 m/s) * 4 s

Now, let's simplify the equation:

s = (-12.0 m/s) * 4 s

s = -48 m

The displacement of the ball from its initial point of release is -48 meters. The negative sign indicates that the ball has moved downward or opposite to its initial direction.

v(o)=3

v(4)=-9
d(4)=?

average velocity= (vf+vo)/2

displacement= averagevelocity*time
=(-9+3)/2 * 4= -3*4 meters