A projectile is launched with an initial velocity of 100 m/s at a 30° angle above the horizontal. Calculate the maximum height achieved by the projectile.

A cannonball is launched diagonally with an initial velocity of 57.0m/s. Determine all unknowns. initial velocity: m/s initial horizontal velocity: m/s initial vertical velocity: m/s 57.0°

In a basketball game, the point guard A intends to throw a pass to the shooting guard B, who is breaking toward the basket at a constant speed of 10 ft/sec. If the shooting guard is to catch the ball at a height of 6.6 ft at C while in full stride to execute a layup, determine the speed vo and launch angle with which the point guard should throw the ball. A Answers: Vo = VO 0 = 0 i i 5.5' 43' 10 ft/sec B ft/sec O 25' 6.6'

A projectile is launched with an initial velocity of 24.0 m/s at an angle of 30.0° elevation. What are the components of the velocity of the projectile after 2.00 s?

A projectile is launched from the roof of a 10 m high building. The projectile is launched with initial velocity %0 = 60 m/s and a shooting angle with respect to the horizontal 0 = 50° Find: a) The maximum height of the projectile. b) The time it takes for the projectile to reach the maximum height. c) The horizontal distance between the base of the building and the point where the projectile hits the ground. d) The time elapsed between when the projectile is fired and when it hits the ground.

The drawing shows an exaggerated view of a rifle that has been 'sighted in' for a 91.4-meter target. If the muzzle speed of the bullet is Vo = 309 m/s, there are the two possible angles 0₁ and 02 between the rifle barrel and the horizontal such that the bullet will hit the target. One of these angles is so large that it is never used in target shooting. Give your answers as (a) the smaller angle and (b) the larger angle. (Hint: The following trigonometric identity may be useful: 2 sine cose = sin 20.) (a) Number (b) Number Units Units 91.4 m O

A baseball is thrown at an angle θ = 22° above the horizontal with an initial vertical velocity v0y = 13.5 m/s. Use a Cartesian coordinate system with the origin at the baseball's initial position. Calculate the initial horizontal velocity component, v0x in m/s.

(a) From a balcony a child fires a toy arrow down to the ground below. The arrow has initial speed 12 m/s and is aimed at an angle of 30° below the horizontal. The arrow takes 1.2 seconds to hit the ground. (i) Calculate the initial horizontal (✰) and vertical (ŷ) velocity components of the arrow. (ii) Calculate the height of the balcony. (b) A projectile is launched with an initial speed of 75 m/s at an angle of 52° above the horizontal. If it lands at the same height from which it was launched, calculate how long the projectile remains in the air.

A cart is moving with a constant horizontal velocity of 5.00 m/s. A small pebble is launched from the front of the cart with a velocity of 8.00 m/s at 60.0° above the horizontal as measured relative to the cart (see figure) and experiences no significant air resistance. Cart 60° 8.00 m/s -5.00 m/s Just as the pebble returns to the level from which it was launched, what is its distance from the front of the cart? How far did the pebble travel from its launch point relative to the ground.

Use a graphing utility to obtain the path of a projectile launched from the ground (h = 0) at the specified values of θ = 35°, v0 = 300 feet per second. In the exercise, use the graph to determine the maximum height and the time at which the projectile reaches its maximum height. Also use the graph to determine the range of the projectile and the time it hits the ground. Round all answers to the nearest tenth.