A particle of mass 4 kg is undergoing one-dimensional motion. It is subject to a constant force of 45 N, and has an initial speed of 8 m/s. The force is parallel to the initial velocity, both of which are directed in the positive direction along the axis of motion. What is the displacement X in meters , of the particle between t=0, and t=5?

A ball is thrown eastward into the air from the origin (in the direction of the positive x-axis). The initial velocity is 40 i +64 k, with speed measured in feet per second. The spin of the ball results in a southward acceleration of 4 ft/s2, so the acceleration vector is a = -4 j - 32 k. Where does the ball land? (Round your answers to one decimal place.) X ft from the origin at an angle of 5.7 X from the eastern direction toward the south. 80.4 With what speed does the ball hit the ground? (Round your answer to one decimal place.) 61.3 X ft/s Submit Answer

A bicycle travels 6.70 km due east in 0.240 h, then 14.40 km at 15.0° east of north in 0.310 h, and finally another 6.70 km due east in 0.240 h to reach its destination. The time lost in turning is negligible. Assume that east is in the +x-direction and north is in the +y-direction. What is the magnitude of the average velocity for the entire trip? What is the direction of the average velocity for the entire trip? Enter the answer as an angle in degrees north of east.

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.

A point particle of mass m = 1.8 kg moves according to the position function: r(t) = xtai + ytbj + ztck, where t denotes time and x, y, z, a, b, and c are constants such that the exponents are positive integers and the position function has the dimension of length.  Part (a)  We can write the particle’s velocity function in the form v(t) = ntdi + otej + ptgk. Enter an expression for n in terms of x, y, z, a, b, and c.   Part (b)  The particle’s velocity function will have the form v(t) = ntdi + otej + ptgk. Enter an expression for d in terms of x, y, z, a, b, and c.  Part (c)  Here is a set of parameter values for the motion of the particle: m = 1.8 kg, x = 1.8 m/s0, y = 2.4 m/s1, z = 0.15 m/s2, a = 0, b = 1, c = 2. Calculate the x-component of the particle’s angular momentum, in units of kg˙m2/s, about the origin at time t = 1 s.   Part (d)  Use the same set of parameter values (m = 1.8 kg, x = 1.8 m/s0, y = 2.4 m/s1, z = 0.15 m/s2, a = 0, b = 1, c = 2) to calculate the y-component of…

7:31 a 4 O 0令ll回 10. The displacement of the object between t = 0 and t = 4 s is: (A) 22 m (B) 28 m (C) 40 m (D) 42 m (E) 60 m Velocity (mis) Time (b a e 11. The above graph represents the velocity as a function of time of a moving object. What is the net displacement between t = 0 s and t = 4 s? (A) Om (B) 16 m (C) 24 m (D) 36 m (E) 48 m Acceleration vs Time Time (s) a

A particle's position is given by  z(t) = −(7.30 m/s2)t2  for  t ≥ 0.  (Express your answer in vector form.) (a) Find the particle's velocity at  t = 2.50 s  and  t = 3.25 s. (b) What is the particle's average velocity during the time interval from  t = 2.50 s  to  t = 3.25 s?

part e is what im most confused about finding  (e)What is the average velocity between t = 1.0 s and t = 2.0 s (in m/s)? (Express your answer in vector form.)

Each of the following vectors is given in terms of its xx- and yy-components.

A boxer's fist and glove have a mass of m = 1.04 kg. The boxer's fist can obtain a speed of v = 9.25 m/s in a time of t = 0.21 s. Write a symbolic expression for the magnitude of the average acceleration, aave, of the boxer's fist, in terms of the variables provided.  Find the magnitude of the average acceleration, aave, in meters per square second. Write an expression for the magnitude of the average net force, Fb, that the boxer must apply to his fist to achieve the given velocity. (Write the expression in terms of m, v and t.) What is the numerical value of Fb, in newtons?