The position of a ball as it is rolling down a hill is described by: X(t) =( 7.50 m/s/s)t² + (12.0 m/s) t+ (9.0 m). What is the balls acceleration? Your Answer:
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- A girl on a bicycle takes 13.6 s to ride half way around a circular track of radius 12.5 m (see the figure below). (a) What is the girl's average speed (in m/s)? m/s (b) What is the magnitude of her average velocity (in m/s)? m/sAn object moves along a straight line and experiences a constant acceleration of +1.36 cm/s2. At t = 4.6 s, its velocity is -3.41 cm/s. Express your answers in cm/s. What was the object’s velocity at t = 1.86 s?The motion of a particle is defined by the equations x = (2t + t^2) m and y = (t^2) m, where t is in seconds. Determine the normal and tangential components of the particle’s velocity and acceleration when t = 2 s.
- The car travels around the circular track having a radius of r = 300 m such that when it is at point A it has a velocity of 8 m/s, which is increasing at the rate of v = (0.08t) m/s², where t is in seconds. (Figure 1) Figure A X 1 of 1 Part A Determine the magnitude of the velocity when it has traveled one-third the way around the track. Express your answer to three significant figures and include the appropriate units. V = Submit Part B Value a = μA 0 Submit Request Answer Determine the magnitude of the acceleration when it has traveled one-third the way around the track. Express your answer to three significant figures and include the appropriate units. O μÀ Value Units Request Answer ? Units ?The Moon orbits the Earth in an approximately circular path. The velocity of the moon as a function of time is given by:vx = −v sin(?t)vy = v cos(?t)where v = 945 m/s and ? = 2.46 10-6 radians/s. What is the average acceleration of the Moon over the following time intervals? For each, give the magnitude and direction as an angle measured counterclockwise from the positive x-axis.(a) from t = 0 to t = 0.200 daysmagnitude ______m/s2direction ______° counterclockwise from the +x-axis (b) from t = 0 to t = 0.0020 daysmagnitude ______m/s2direction ______° counterclockwise from the +x-axisWe know that the moon Callisto revolves around Jupiter during a period of 17.0 days.17.0 days. The average distance from the center of Jupiter to the center of Callisto is 1.95×109 m.1.95×109 m. What is the acceleration ?a of Callisto due to its motion around Jupiter?
- The NEXT morning, you wake up in a strange room yet again, and this time you drop a ball from a height of 1.40 m above the floor. The ball hits the floor 0.160 s after your drop it. You guess that you must have been taken to an alien planet with gravity different from Earth s. What is this planet s g (that is, the magnitude of the acceleration due to gravity on this planet)? 54.7 m/s^2 82.1 m/s^2 207.9 m/s^2 109.4 m/s^2POSSIBLE POINTS: 7.32 Julietta and Jackson are playing miniature golf. Julietta's ball rolls into a long, straight downward incline with a speed of 2.95 m/s and accelerates at 3.76 m/s/s for 2.74 seconds until it reaches the bottom of the incline and then continues along an elevated section. Determine the length of the incline. BIUT T, 0/ 10000 Word Limit 2 3 4 5 67 8. 10 Nex Sign dutThe position of a particle is r(t) = (5.0t2î – 4.0j + 6.0t³k) m. (a) What is the velocity of the particle at 0 s and at 1.0 s (in m/s)? (Express your answers in vector form.) v(0 s) m/s v(1.0 s) m/s (b) What is the average velocity between 0 s and 1.0 s (in m/s)? (Express your answer in vector form.) Vavg m/s
- A particle has a velocity of v= (3i+5j)m/s and a constant acceleration of a=(-1.5i-4.5j)m/s^2 What is its velocity after 2 seconds? Is it moving faster or slower after 2 seconds?A particle is moved over an XY plane with acceleration components ax = 1.0 m/s2 and ay = -2.0 m/s2. Its initial velocity has components Vix = 8.0 m/s and Viy = 13 m/s. What is the speed of the particle after 4 seconds ?A ball rolling along the floor with velocity 0.41 m/s goes from x = 1.35 m to x = 9.8 m. How much time does this take?