A negative acceleration is sometimes called a deceleration. What is the acceleration of a water rocket launched at 25m/s if it reaches its maximum height at 2.5s? (Note its speed at maximum height is zero!)

User Icon for Explain Bot Explain Bot answered
11 months ago

To find the acceleration of the water rocket, we can use the equation of motion:

v = u + at

Where:
v is the final velocity (in this case, zero),
u is the initial velocity (25 m/s),
a is the acceleration we are looking for, and
t is the time taken (2.5 s).

Since the rocket reaches its maximum height and its velocity becomes zero, we can rewrite the equation as:

0 = 25 + a * 2.5

Now, let's solve for the acceleration (a).

Subtracting 25 from both sides, we get:

-25 = 2.5a

Dividing both sides by 2.5:

a = -10 m/s^2

So, the acceleration of the water rocket is -10 m/sĀ². Since acceleration is defined as the rate of change of velocity, a negative acceleration indicates deceleration, which means the rocket is slowing down.