# What is the average speed of an object that is moving at #12 m/s# at #t=0# and accelerates at a rate of #a(t) =2-5t# on #t in [0,4]#?

By signing up, you agree to our Terms of Service and Privacy Policy

To find the average speed of the object, we need to calculate the total distance traveled and divide it by the total time taken. The total distance traveled can be found by integrating the velocity function from 0 to 4 seconds. The velocity function is given by v(t) = 12 + ∫(2 - 5t) dt from 0 to 4 seconds. The average speed is then the total distance traveled divided by the total time, which is 4 seconds.

By signing up, you agree to our Terms of Service and Privacy Policy

- What is the difference between displacement and velocity? What does each measure?
- A train covers 60 miles between 2 p.m. and 4 p.m. How fast was it going at 3 p.m.?
- A man stands on a crane and throws a water balloon down at at 21 m/s. He finds that it takes 2.4s for the balloon to hit the ground. How fast is the water balloon travelling when it hits the ground?
- An object is at rest at #(9 ,7 ,5 )# and constantly accelerates at a rate of #5/4 m/s^2# as it moves to point B. If point B is at #(8 ,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 still at #t=0# and accelerates at a rate of #a(t) = 12-3t# from #t in [0, 4]#?

- 98% accuracy study help
- Covers math, physics, chemistry, biology, and more
- Step-by-step, in-depth guides
- Readily available 24/7