The figure shows the acceleration-versus-time graph of a particle moving along the x-axis. Its initial velocity is v0x= 6.00 m/s at to = 0 s. What is the particle's velocity at t = 2.00 s? (Figure 1) Figure 1 of 1 a (m/s²) 4 2. 4 - t (s) Part A Express your answer with the appropriate units. μА ? m 14 S Submit Previous Answers Request Answer X Incorrect; Try Again; 2 attempts remaining Provide Feedback

A particle moves along a straight path with an acceleration of a = (4/s) m/s², where s is in meters. ▼ Part A Determine the particle's velocity when s= 7 m, if it is released from rest when s = 1 m. Express your answer three significant figures and include the appropriate units. V= Value Submit 5 Request Answer Units ?

4. A robotic vehicle is exploring the surface of Mars. The robot, which is represented as a point, has x - and y-coordinates that vary with time: x = (3 − 2t); y = (-t² + 4t³) where x and y are in meters and t is in seconds. a. Find the average velocity of the robot between t = 0s and t = 2s. b. Find the average acceleration of the robot between t = 0s and t = 2s. c. At what time the acceleration of the robot will be zero. a. Vavg= -21 + 14ĵ m/s b. davg = 22ĵ C. m s² 2 t = = = 0.083 s 24

Include a picture or description of your coordinate system (origin, positive direction).

In this problem, you will apply kinematic equations to a jumping flea. Take the magnitude of free-fall acceleration to be 9.80 m/s². Ignore air resistance. Part A A flea jumps straight up to a maximum height of 0.410 m. What is its initial velocity vo as it leaves the ground? Express your answer in meters per second to three significant figures. ▸ View Available Hint(s) 20 2.83 m/s Submit ✓ Correct Part B Previous Answers How long is the flea in the air from the time it jumps to the time it hits the ground? Express your answer in seconds to three significant figures. ► View Available Hint(s) time in air = Submit 1951 ΑΣΦ Previous Answers Request Answer wood ? S

At 10:17 a.m., you pass a police car at 55 mph that is stopped on the freeway. You pass a second police car at 55 mph at 10:53 a.m., which is located 39 mi from the first police car. If the speed limit is 60 mph, can the police cite you for speeding? а. a. The total time between your two police car sightings was P hours. b. Your average speed between the two police car sightings was 8, mph. c. Can the police cite you for speeding? No, your average speed was less than the speed limit. CYes, since your average speed was more than the speed limit, there must have been somewhere within the 39 mi where you were driving more than 60 mph.

a. Find the velocity v(t) and acceleration a(t). b. At what value of t does v=0? c. What is the maximum height?

A rabbit runs across a parking lot on which a set of coordinate axis has been drawn. The coordinates of the rabbit’s position as a function of time t are given by:                            x = -0.3t2 + 5t + 28  and  y = 0.22t2 - 8t + 30 with t in seconds and x and y in meters. What is the velocity at t= 10 sec?      A. 0.6 i + 0.4 j   B. -0.2i +1.6j +30   C. -i - 3.6 j   D. 4i + 2j

Consider the following descriptions of the vertical motion of an object subject only to the acceleration due to gravity. Begin with the acceleration equation a(t) = v'(t) = g, where g= - 9.8 m/s. a. Find the velocity of the object for all relevant times. b. Find the position of the object for all relevant times. c. Find the time when the object reaches its highest point. What is the height? d. Find the time when the object strikes the ground. A softball is popped up vertically (from the ground) with a velocity of 25 m/s. а. v(t) b. s(t) = %3D c. The object's highest point is m at time t= S. (Simplify your answers. Round to two decimal places as needed.) d. t= (Simplify your answer. Round to two decimal places as needed.)