All categories

3 years ago

A particle moves along the x axis so that its velocity at time t is given by v(t)=

Physics

1 answer:

vodomira [7]3 years ago

6 0

Answer:

a = 0.7267 , acceleration is positive therefore the speed is increasing

Explanation:

The definition of acceleration is

a = dv / dt

they give us the function of speed

v = - (t-1) sin (t² / 2)

a = - sin (t²/2) - (t-1) cos (t²/2) 2t / 2

a = - sin (t²/2) - t (t-1) cos (t²/2)

the acceleration for t = 4 s

a = - sin (4²/2) - 4 (4-1) cos (4²/2)

a = -sin 8 - 12 cos 8

remember that the angles are in radians

a = 0.7267

the problem does not indicate the units, but to be correct they must be m/s²

We see that the acceleration is positive therefore the speed is increasing

You might be interested in

An object is moving in the absence of a net force. Which of the following best describes the object’s motion? A. The object will

docker41 [41]

Answer:

D. The object will continue to move with a constant velocity

Explanation:

According to Newton's first law also known as law of inertia, states that an object at rest will remain at rest or, if in motion, will remain in motion at constant velocity unless acted on by a net external force.

Therefore, An object moving in the absence of a net force will continue to move at a constant velocity

3 0

3 years ago

What is the resultant force acting on 500g object accelerating at 5m/s2

qaws [65]

Answer:

1/2

Explanation:

4 0

3 years ago

A force can exist between two charged particles or objects even if they're as small as subatomic particles. Between which of the

aev [14]

I think it is a not sher

7 0

3 years ago

Read 2 more answers

Skater 1 has a mass of 45 kg and is at rest. Skater 2 has a mass of 50 kg and is moving slowly at a constant velocity of 3.2 m/s

algol13

Answer:

None

Explanation:

Force, F is given by ma where m is the mass of an object and a is acceleration

Acceleration is the rate of change in velocity per unit time. Since skaters with mass of 75 kg and 50 kg are moving at a constant speed, there is no acceleration hence F=50*0=0 and F=75*0=0

For skater of 45 kg, he is at rest to mean the initial and final velocitu of the skater is zero hence no acceleration, the force will be 45*0=0

Therefore, none of the skaters will experience a greater net force.

3 0

3 years ago

A regulation basketball has a 15 cm diameter and may be appropriated as a thin spherical shell.

REY [17]

Solution :

From the given data,

For the spherical shell is $\frac{k^2}{R^2}= \frac{2}{3}$