Mechanics | Relativity Answers

A particle of mass 0.01 kg is moving along the +ve x axis under influence of the force F(x) = -k(1/2x^2),where k = 0.01 Nm^2. At t=0, it is at x = 1m and velocity = 0.
Find the time at which it reaches x = 0.25

State the principle of impulse and momentum. And clearly difference between impulse and impact.

Consider the position of a ball thrown down with an initial speed of 21m/s. What will be it's position after 3s? Let the initial position be 0. The acceleration of gravity is 9.8m/s^2. Answer in units of m

A basketball player achieves a hang time of 0.67 s in dunking the ball. What vertical height will he attain? The acceleration of gravity is 9.8m/s^2 answer in units of m

A radar station locates a sinking ship at range 15.9 km and bearing 136° clockwise from north. From the same station, a rescue plane is at horizontal range 19.6 km, 156° clockwise from north, with elevation 2.05 km. (a) Write the displacement vector from plane to ship, letting i hat represent east, j hat north, and k hat bold up.

http://hyperphysics.phy-astr.gsu.edu/hbase/pespr.html
According to my question #45884 the answer which was provided differs from what is given on this link. Please check.

An automobile starts from rest and accelerates to a final velocity in two stages along a straight road. Each stage occupies the same amount of time. In stage 1, the magnitude of the car's acceleration is 3.01 m/s2. The magnitude of the car's velocity at the end of stage 2 is 1.90 times greater than it is at the end of stage 1. Calculate the magnitude of the acceleration in stage 2.

You throw a rock straight upward at 30m/approximately how long does it rise? how long until it stops at the top of its flight?

a car is rolling back when it hits the gas. after 8.25s, it is moving forward at 8.62m/s, and is 12.9m to the right of the starting point. what was its starting velocity?

Is the force field defined by F = (3X^2YZ-3Y)i+(X^3Z-3X)j+(X^3Y+2Z)k conservative? If
so, find the scalar potential associated with F .(Note i,j,k are unit vector)