A fish swimming in a horizontal plane has velocity v = (4.00 î + 1.00 j) m/s at a point in the ocean where the position relative to a certain rock is F = (16.0 i - 3.00 j) m. After the fish swims with constant acceleration for 17.0 s, its velocity is v = (21.0 î - 3.00 j) m/s. (a) What are the components of the acceleration of the fish? a = m/s2 m/s2 (b) What is the direction of its acceleration with respect to unit vector î? ° counterclockwise from the +x-axis (c) If the fish maintains constant acceleration, where is it att = 28.0 s? X%3D

A student stands at the edge of a cliff and throws a stone horizontally over the edge with a speed of v0 = 17.5 m/s. The cliff is h = 32.0 m above a flat, horizontal beach as shown in the figure. (a) What are the coordinates of the initial position of the stone? x0     m y0     m (b) What are the components of the initial velocity? v0x     m/s v0y     m/s (c) Write the equations for the x- and y-components of the velocity of the stone with time. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not include units in your answer.) vx   vy   (d) Write the equations for the position of the stone with time, using the coordinates in the figure. (Use the following as necessary: t. Let the variable t be measured in seconds. Do not state units in your answer.) x   y   (e) How long after being released does the stone strike the beach below the cliff? (f) With what speed and angle of impact does the stone land? vf    m/s θ…

A small object moves along the x-axis with acceleration ax(t) = −(0.0320m/s3)(15.0s−t). At t = 0 the object is at x = -14.0 m and has velocity v0x = 4.10 m/s. What is the x-coordinate of the object when t = 10.0 s?

Number An ion's position vector is initially 7 = (2.4 m )î + (−7.4 m )3 + (6.5 m ). In unit-vector notation, what is its average velocity during the 6.7 s? )ĵ i 1 + = 9.1 m )i + (−9.9 m )ĵ + (−10 m )k, ) + (-10 m ), and 6.7 s later it is -0.37313433 Ĵ + MI -2.46268657 k Units m/s

A computer model displays the motion of a particle on a coordinate system in real time. At time t = 0, the particle is at the origin of the coordinate system and has velocity components vx = 0 and vy = 7.2 m/s. The particle has acceleration components of ax = −3.2 m/s2 and ay = 0.   (a) What are the x and y positions of the particle, in meters, at t = 4.5 s? x = ? m y = ? m   (b) What are velocity components of the particle, in m/s, at t = 4.5 s? vx = ? m/s vy = ? m/s   (c) How does the speed of the particle change from t = 0 to t = 4.5 s? a) The particle's speed remains constant. b) The particle's speed increases and then decreases with time.     c) The particle's speed decreases with time. d) The particle's speed increases with time.

A particle moves in a circular path at constant speed. The initial location of the particle is (4.24 m, 6.05 m) at t = 4 s. The velocity of the particle at this time is 3.02 m/s 3 (i.e., directed along the positive y-axis). Acceleration at this time is along the +x axis. At t=10.6 s, v is -3.02 m/s i and the acceleration is directed along the +y axis. Find the radius of the circle. For this problem assume the time interval is less than one full period. T Find the x-coordinate of the center of the circle (in meters): Xcenter m = m Question Help: Read