An object has a mass of #6 kg#. The object's kinetic energy uniformly changes from #480 KJ# to #12 KJ# over #t in [0, 8 s]#. What is the average speed of the object?
The average speed is
The kinetic energy is
Therefore,
and,
The equation of the line is
So,
So,
By signing up, you agree to our Terms of Service and Privacy Policy
To find the average speed of the object, divide the total distance traveled by the total time taken. Given that the kinetic energy changes uniformly, the average kinetic energy over the interval is simply the average of the initial and final kinetic energies. Using the kinetic energy formula, we can find the initial and final velocities of the object. Then, using the formula for average speed, we can calculate it.
By signing up, you agree to our Terms of Service and Privacy Policy
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- An object is at rest at #(4 ,5 ,1 )# and constantly accelerates at a rate of #4/3 m/s^2# as it moves to point B. If point B is at #(7 ,2 ,6 )#, how long will it take for the object to reach point B? Assume that all coordinates are in meters.
- What is the average speed of an object that is moving at #30 m/s# at #t=0# and accelerates at a rate of #a(t) =5-2t^2# on #t in [0,5]#?
- A projectile is shot from the ground at a velocity of #3 m/s# at an angle of #pi/3#. How long will it take for the projectile to land?
- The position of an object moving along a line is given by #p(t) = cos(t- pi /3) +2 #. What is the speed of the object at #t = (2pi) /4 #?
- An object has a mass of #6 kg#. The object's kinetic energy uniformly changes from #540 KJ# to # 32 KJ# over #t in [0, 4 s]#. What is the average speed of the object?
- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7