A particle moves so that its position (in meters) as a function of time (in seconds) is 7 = î + 2²ĵ + 2tk. (Use the following as necessary: t.) (a) Write an expression for its velocity as a function of time. v (e) = m/s (b) Write an expression for its acceleration as a function of time. d«) = m/s2

Part (a) What is its velocity after 23 seconds? Give your answer in m/s. Numeric : A numeric value is expected and not an expression. V = Part (b) How far has it gone in meters? Numeric : A numeric value is expected and not an expression. X =

A student drove to the university from her home and noted that the odometer reading of her car increased by 12.0 km. The trip took 17.9 min. a.If the straight-line distance from her home to the university is 10.310.3 km in a direction 28.028.0º south of east, what was her average velocity? (magnitude and direction south of east) b.If she returned home by the same path 6.50h after she left, what was her average speed for the entire trip?

30 m/s Express your answer in miles per hour. V ΑΣφ ? mph Submit Previous Answers Request Answer

A car starts from 2.00 m/s and accelerates at 4.00 m/s2 for 6.0 s, it coasts for 5.00 s, and then slows down at a rate of 2.00 m/s2to a stop. How far has it traveled, in meters? Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. Do not include the positive sign if the answer is positive. No unit is needed in your answer, it is already given in the question statement.

On a fishing trip on Lesser Slave Lake you drive your motorboat north at 20.0 km/h for 30.0 minutes. After realizing that you passed your fishing spot, you turn south and travel at 35 hm/h for 10.0 minutes. Determine your average. a) speed for this trip. [24km/h] b) velocity for this trip. [ 6.3 hm/h, North]

Classify each quantity as a scalar quantity or vector quantity. Answer choices may be used more than once. 1. average velocity 2. distance 3. position 4. speed 5. displacement

A woman stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v, = 19.5 m/s. The rock leaves her hand at a height of h = 49.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) m Yo = (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = m/s Voy m/s

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A person stands at the edge of a cliff and throws a rock horizontally over the edge with a speed of v = 23.0 m/s. The rock leaves his hand at a height of h = 43.0 m above level ground at the bottom of the cliff, as shown in the figure. Note the coordinate system in the figure, where the origin is at the bottom of the cliff, directly below where the rock leaves the hand. 4 7 i (a) What are the coordinates of the initial position of the rock? (Enter your answers in m.) Xo = Yo = m (b) What are the components of the initial velocity? (Enter your answers in m/s.) Vox = m/s m/s Voy