Explanation:
Distance = (intial speed)X(Time) + 1/2(acceleration)X(Time) [Third equation of motion]
As initial speed is zero, therefore;
Distance = 1/2(acceleration)X(Time)
= 1/2 (6 X 15)
= 1/2 (90)
= 45 meters
Hence, the object traveled 45 meters.
Answer:
centripetal acceleration of the ball is 6.9 m/s/s
tangential speed of the ball is 2.2 m/s
Explanation:
As we know that ball complete 5 rotations in 10 seconds
so frequency of rotation of ball is given as

now we know that angular frequency is given as



Now centripetal acceleration is given as



now the velocity of the ball at this angular frequency is given as



Answer:
3. velocity is zero.
Explanation:
The velocity of a simple harmonic motion is given by

Here, <em>ω</em> is the angular velocity, <em>A</em> is the amplitude (or maximum displacement from the equilibrium point) and <em>x</em> is the displacement at any time.
At maximum displacement, <em>x </em>=<em> A</em>.<em> </em>Then

Therefore, at maximum displacement, velocity is 0.
Practically, this can be observed in a simple pendulum. As it approaches the maximum displacement, its velocity reduces. It becomes zero at this point and then reverses as the pendulum changes course. Then the velocity begins to increase. It becomes maximum at the equilibrium point but once past that, the velocity begins to reduce as it approaches the other amplitude.
For acceleration,

It follows that at maximum displacement, the acceleration is a maximum. The negative sign indicates that it is in an opposite direction to the displacement. Both kinetic energy (
) and linear momentum (
) are proportional to velocity; they are therefore both zero at the maximum displacement.
Answer:
AC)=(AB)2+(BC)2−−−−−−−−−−−−√=42+32−−−−−−√
⇒displacement=16+9−−−−−√=25−−√=5m