The velocity vector of a sprinting cheetah has x- and y-components vx = +28.6 m/s and vy = −26.3 m/s. What is the magnitude of the velocity vector?

The x-component of a velocity vector that has an angle of 35 ∘ to the +x axis has a magnitude of 4.9 m/s. What is the magnitude of the velocity? Express your answer using two significant figures.   What is the magnitude of the yy-component of the velocity? Express your answer using two significant figures.

The vector position of a particle varies in time according to the expression F(t)=(1.41 t + 1.72)i +(0.224t2 + 1.11)J where r is in meters and t is in seconds. Find the speed of the particle in m/s at 2.58 s.

A golf ball is hit off a tee at the edge of a cliff. Its x and y coordinates as functions of time are given by  x = 17.0t  and  y = 4.20t − 4.90t2,  where x and y are in meters and t is in seconds. (a) Write a vector expression for the ball's position as a function of time, using the unit vectors î and ĵ. (Give the answer in terms of t.) =          m By taking derivatives, do the following. (Give the answers in terms of t.) (b) obtain the expression for the velocity vector  as a function of time =          m/s(c) obtain the expression for the acceleration vector  as a function of time =          m/s2(d) Next use unit-vector notation to write expressions for the position, the velocity, and the acceleration of the golf ball at t = 3.24 s.   =         m   =         m/s   =         m/s2

An object has an initial velocity of 29.0 m/s at 95.0° and an acceleration of 1.90 m/s2 at 200.0°. Assume that all angles are measured with respect to the positive x-axis. (a) Write the initial velocity vector and the acceleration vector in unit vector notation. (b) If the object maintains this acceleration for 12.0 seconds, determine the average velocity vector over the time interval. Express your answer in your unit vector notation.

The velocity vector of a sprinting cheetah has x- and y-components vx = +28.6 m/s and vy = −26.3 m/s. What angle does the velocity vector make with the +x-axis?

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At a football game, imagine the line of scrimmage is the y-axis. A player, starting at the y-axis, runs 8.50 yards, back (in the −x-direction), then 15.0 yards parallel to the y-axis (in the −y-direction). He then throws the football straight downfield 55.0 yards in a direction perpendicular to the y-axis (in the +x-direction). What is the magnitude of the displacement (in yards) of the ball?  yards (b) What if? The receiver that catches the football travels 64.0 additional yards at an angle of 45.0° counterclockwise from the +x-axis away from the quarterback's position and scores a touchdown. What is the magnitude of the football's total displacement (in yards) from where the quarterback took the ball to the end of the receiver's run?

a submarine travels at a constant velocity of 180.0 m/s for 92.0 minutes at 90.0 degrees. then the sub accelerates to a constant velocity of 200.0 m/s for 2.25 hours at 155 degrees. what is the sub's resultant displacement vector?

A particle is moving with velocity v=k(y^i+x^j). Where k is constant and i^ and j^ are the components of vector. What is the general equation for its path?