Answer:
Yes. The fact that an object moves at constant velocity implies that its speed is also constant. Note that the converse statement isn't necessarily true.
Explanation:
Velocity is a vector. For two vectors to be equal to each other,
- their magnitudes (sizes) need be the same, and
- they need to point in the same direction.
In motions, the magnitude of an object's velocity is the same as its speed.
If the car moves with a constant velocity, that means that
- the magnitude of its velocity, the speed of the car, is constant;
- also, the direction of the car's motion is also constant.
In other words,
.
Note that the arrow here points only from the velocity side to the speed side. It doesn't point backward because knowing that the speed of an object is constant won't be sufficient to prove that the velocity of the object is also constant. For example, for an object in a uniform circular motion, the speed is constant but the direction keeps changing. Hence the velocity isn't constant.
Answer: The acceleration of an object will decrease
Explanation: This happens as if the mass of an object increases then the acceleration of the body decreases as acceleartion is directly proportional to the mass of the body by Newton's 2nd law F=MA we can say the more mass an object has the more net force needs to be applied to make it start accelerating
3 m/s because when he hits the water he will be traveling at the same speed
Answer:
X = 5.44 m
Explanation:
First we can calculate the normal force acting from the floor to the ladder.
W₁+W₂ = N
W1 is the weigh of the ladder
W2 is the weigh of the person
So we have:

The friction force is:

Now let's define the conservation of torque about the foot of the ladder:
Solving this equation for X, we have:

Finally, X = 5.44 m
Hope it helps!
To solve this problem we will start from the definition of energy of a spring mass system based on the simple harmonic movement. Using the relationship of equality and balance between both systems we will find the relationship of the amplitudes in terms of angular velocities. Using the equivalent expressions of angular velocity we will find the final ratio. This is,
The energy of the system having mass m is,

The energy of the system having mass 2m is,

For the two expressions mentioned above remember that the variables mean
m = mass
Angular velocity
A = Amplitude
The energies of the two system are same then,



Remember that

Replacing this value we have then


But the value of the mass was previously given, then



Therefore the ratio of the oscillation amplitudes it is the same.