force=mass × acceleration
mass=force ÷ acceleration
acceleration=force ÷ mass
No. It’s moving at a constant speed (speed is not changing) in a straight line (same direction so velocity is not changing) so it is not accelerating. Acceleration only occurs if there’s a change in speed/velocity.
0.119cm/s is the radius of the balloon increasing when the diameter is 20 cm.
<h3>How big is a circle's radius?</h3>
The radius of a circle is the distance a circle's center from any point along its circumference. Usually, "R" or "r" is used to indicate it.
A circle's diameter cuts through the center and extends from edge to edge, in contrast to a circle's radius, which extends from center to edge. Essentially, a circle is divided in half by its diameter.
dv/dt = 150cm³/s
d = 2r = 20cm
r = 10cm
find dr/dt
Given that the volume of a sphere is calculated using
v = 4/3πr³
Consider both sides of a derivative
d/dt(v) = d/dt( 4/3πr³)
dv/dt = 4/3π(3r²)dr/dt = 4πr²dr/dt
Hence,
dr/dt = 1/4πr².dv/dt
dr/dt = 1/4π×(10)²×150
dr/dt = 1/4π×100×150
dr/dt = 0.119cm/s.
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The speed of sound in air doesn't depend on the frequency of the sound. It depends on the temperature, pressure, and humidity of the air. It's usually around <em>340 m/s</em> .
Answer:
The velocity with which the stone strikes the water surface is 33.0 m/s (nearest tenth)
Explanation:
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