# MATH VERY URGENT!!!!!!

1) A ball is hit at an angle of 36 degrees to the horizontal from 14 feet above the ground. If it hits the ground 26 feet away (in horizontal distance), what was the initial velocity? Assume there is no air resistance.

1. 👍
2. 👎
3. 👁
1. first we observe that the motion of the ball is projectile and its trajectory (path followed by the ball) is shaped like a parabola. the horizontal distance travelled by the ball is thus given by:
R = (vo)^2 * sin (2*theta) / g
where
R = range or the horizontal distance
vo = initial velocity
theta = angle of release
g = acceleration due to gravity (9.8 m/s^2 = 32 ft/s^2)
substituting,
26 = (vo)^2 * sin(2*36) / 32
26 = (vo)^2 * 0.02972
26/0.02972 = (vo)^2
874.82 = (vo)^2
getting the squareroot of both sides,
vo = 29.58 ft/s

hope this helps~ :)

1. 👍
2. 👎

## Similar Questions

1. ### Science

A golf ball was hit and projected in an angle of 60 degrees with the horizontal. if the initial velocity of the ball was 50m/s, calculate the following: a. the time the golf ball was in the air b. horizontal distance the ball

2. ### physics

a golf ball is hit at an angle of 45 degrees with the horizontal. if the initial velocity of the ball is 52m/s , how far will it travel horizontally before striking the ground?

3. ### Physics

A golf ball is hit with a velocity of 24.5 m/s at 35.0 degrees above the horizontal. Find a) the range of the ball, and b) the maximum height of the ball

4. ### Physics

A 25g ball slides down a smooth inclined plane. 0.850m high, that makes an angle of 35 degrees with the horizontal. The ball slides into an open box of 200g mass and they slide off the end of the table 1m high. How far from the

1. ### physics

A soccer ball is kicked into the air at an angle of 38 degrees above the horizontal. The initial velocity of the ball is +30.0m/s. How long is the ball in the air? -What is the maximum height reached by the ball? -What is the

2. ### physics

A child throws a ball with an initial speed of 8 m/s at an angle of 40 degrees above the horizontal. The ball leaves her hand 1 m above the ground. How long is the ball in flight before it hits the ground? What is the magnitude of

3. ### Physics

Alexis Farias realizes her dream to play golf on the moon. She hits a golf ball with an initial velocity of 23.5m/s at an angle of 35.0 degrees above the horizontal. The acceleration due to gravity on the moon is 1.67m/s^2. A).

4. ### Physics

Ted Williams hits a baseball with an initial velocity of 120 miles per hour (176 ft/s) at an angle of θ = 35 degrees to the horizontal. The ball is struck 3 feet above home plate. You watch as the ball goes over the outfield wall

1. ### Physics

A baseball pitcher delivers a fastball that crosses the plate with an angle of 7.89 degrees relative to the horizontal and a speed of 87.5 mph. The ball (mass 0.145 kg) is hit back over the head of the pitcher at an angle of 38.03

2. ### Physics

A tennis player hits a ball at ground level, giving it an initial velocity of 24 m/s at 57 degrees above the horizontal. (a) what are the horizontal and verticla components of the ball;s initial velocity? (b) how high above the

3. ### PHY SCI

A golfer on a level fairway hits a ball at an angle of 42* to the horizontal that travels 100 yd before striking the ground. He then hits another ball from the same spot with the same speed, but at a different angle. This ball

4. ### Physics

A golf ball is stuck at point o on the ground and moves with an initial velocity of 20ms-1 at an angle of 53 degrees to the horizontal.The ball subsequently lands at a point x which is on the same horizontal levelas o. a) show