So acceleration = (final velocity - initial velocity)/time
So (fv-iv)/t=a
(45-110)/4.5
Gives you (-130/9)km/h^2
You may have to convert the SI units so just follow my steps and change what must be changed
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Explanation:
To determine the maximum height for the projectile, we can use the timeless kinematics equation

and plug in what we know. For

, we know it is zero because at the highest location of flight, there is no vertical velocity. For

, we know it is

since the vertical component is the sine of the velocity. We need to solve for

, so it is left as-is. Since the only acceleration is

, we can substitute -9.81 into it. Solving for the equation yields a solution of 17.55 m for

.
Answer:
Since the astronaut drops the rock, the initial velocity of the rock is 0 m/s
<u>We are given:</u>
initial velocity (u) = 0 m/s
final velocity (v) = v m/s
acceleration (a) = 1.62 m/s/s
height (h) = 1.25 m
<u>Solving for v:</u>
From the third equation of motion:
v²-u² = 2ah
replacing the variables
v² - (0)² =2 (1.62)(1.25)
v² = 1.62 * 2.5
v² = 4 (approx)
v = √4
v = 2 m/s
The speed of the rock just before it lands is 2 m/s