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 student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity v0 = 17 m/s at an angle θ = 27 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position.   With what speed, vf in meters per second, does the stone strike the ground?

The height (in meters) of a projectile shot vertically upward from a point 4 m above ground level with an initial velocity of 25.5 m/s is h = 4 + 25.5t − 4.9t2 after t seconds.  When does the projectile meet its maximum height and what is its maximum height?

A projectile is thrown from the top of a cliff with an initial speed of 25 m/s at an angle of 600 up from the horizontal. If the projectile lands 100 m from the base of the cliff how tall is the cliff?

if a person can jump a maximum horizontal distance ( by using a 45 degrees projection angle) of 3.66 m on earth, what would be his maximum range on the moon, where the free-fall acceleration is g/6 and g = 9.80 m m/s^2? (a) give the answers in meters.. (b) repeat for mars, where the acceleration due to gravity is 0.38 g.

Problem 2: An object is thrown off the top of a 38-m tall building with a velocity of 350 m/s at an angle of 8.2° with respect to the horizontal. Part (a) How long is the object in the air in seconds? Numeric : A numeric value is expected and not an expression. t = Part (b) What is the maximum height the object reaches above the ground in meters? Numeric : A numeric value is expected and not an expression. hmax = Part (c) What is the horizontal distance the object covers in meters? Numeric : A numeric value is expected and not an expression. Ax =.

You hit a golf ball from the (level) ground, with an initial speed and an initial angle.  Ignore air resistance.  (This is very unrealistic.) The initial speed is v0 = 23.7 m/s, and the angle the ball is hit at is θ = 46o.  Calculate vx0, the initial horizontal component of velocity (in m/s). What equations describe the trajectory of the golf ball?

On a planet very similar to Earth, but slightly denser, where acceleration due to gravity is 10 m/s2, a projectile is fire vertically from a height of 100 meters with an initial velocity of 40 m/s. Its position above the ground after t seconds is given by h(t) = 100 + 40t − 5t2 meters. Find the maximum height the projectile attains.

A cannonball is shot with an initial speed of 30.0 m/s and 25.0º angle above horizontal from a height of 12.0 m. How far can the cannonball go horizontally when it lands on the ground, in meters? Use g = 10.0 m/s2. (Hint: Clearly label quantities along x- and y- components and write down all steps.)

At a particular instant, a hot air balloon is 50.3 m above a horizontal field and descending at a rate of 3.5 m/s. At this instant, a girl throws a ball horizontally (relative to herself) with an a speed of 12.3 m/s. When the balloon lands on the ground, how far is she from where the ball landed? Express your answer in meters and neglect air resistance.