A projectile is lauched from the ground level with an velocity of v ^0 feet per second. Neglecting air resistance, it's height in feet t seconds after launch is given by s =-16t+v0t. Find the time(s) that the projectile will (a) reach height of 64 ft and (b) return to the ground when v 0=80 feet per second.

a rocket is fired vertically upwards from ground level with an intial velocity of v0 ft/sec. assuming the rocket obeys Galileo;s law of motion due to gravity, determine the initial velocity required in order for the rocket to attain a height of 1 mile?

A particle initially located at the origin has an acceleration of a = 1.00j m/s? and an initial velocity of v = 6.00î m/s. (a) Find the vector position of the particle at any time t (where t is measured in seconds). ( 6 tî+ +5 t? j) m (b) Find the velocity of the particle at any time t. (6 î + 1 v tj) m/s (c) Find the coordinates of the particle at t = 6.00 s. X = 36 m y = 0 For the y coordinate of the particle, you need to know the y components of the initial position, the velocity, and the acceleration. m (d) Find the speed of the particle at t = 6.00 s. 8.49 m/s

A projectile shot upward from a point 100 feet above sea level with an initial velocity of 160 ft/sec has a position function (neglecting air resistance) given by s(t) = -16t^2 + 160t + 100 Find its average velocity during the first 3 seconds of flight (t=0 to t=3). Find its instantaneous velocity at t=4 seconds.