10-8. An object travels from the origin to point (1) in 5 seconds and then to point (2) in a total time of 8 seconds for a final displacement of 5 ft as shown in Figure P10-8. Determine the velocity from point (1) to (2). (1) S = 6 ft S2 = 5 ft Origin 10 FIGURE P10-8 5 ft (2)
Added by Thomas M.
Close
Step 1
Given that the object travels from the origin to point (1) in 5 seconds and the displacement is 6 ft, we can use the formula for velocity: velocity = displacement / time. velocity from origin to point (1) = 6 ft / 5 sec = 1.2 ft/sec. Show more…
Show all steps
Your feedback will help us improve your experience
Zhumagali Shomanov and 82 other Calculus 1 / AB educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The velocity of an object at any point is equal to the rate of change of its displacement at that point. Suppose that an object travels in a straight line and its displacement s mm at time t s is given by s = 8t^4 + 2t^2 + 5. What is the velocity of the object when t = 7? Give your answer in mm s-1 to the nearest integer. The velocity is mm s-1
Zhumagali S.
Suppose s(t) = -4.9t^2 + 60t + 5 represents the height of an object above the ground in meters, t seconds after it is thrown into the air. 1. What is the object's initial position? s(0) = -4.9(0)^2 + 60(0) + 5 = 5 m 2. Determine the object's velocity as a function of t, i.e., v(t) = s'(t). What are the units of v? 3. Determine its acceleration, as a function of t, i.e., a(t) = v'(t) = s''(t). What are the units of a? 4. Evaluate s(10), s'(10), and s''(10), and state the meaning of each in the context of the problem. s(10) = -4.9(10)^2
Suman Saurav T.
If the velocity of a particle is given by v = (180 - 16x)^(1/2) m/s, then its acceleration will be:- (1) Zero (2) 8 m/s^2 (3) -8 m/s^2 (4) 4 m/s^2
Adi S.
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD