A person stands on the ground with a slingshot and tries to hit a high limb on a nearby tree. The limb is 33.2 feet above the ground. What is the minimum initial velocity in meters/second of a rock leaving the slingshot at 6 feet above the ground that would be able to reach the limb? Note: Convert units as necessary.
The minimum initial velocity of the rock should be 12.747 m/s to reach that limb.
A person stands on the ground with a slingshot and tries to hit a high limb...
A person stands on the ground with a slingshot and tries to hit a high limb on a nearby tree. The limb is 29.6 feet above the ground. What is the minimum initial velocity in meters/second of a rock leaving the slingshot at 6 feet above the ground that would be able to reach the limb? Note: Convert units as necessary.
A rock takes 3.2 s to hit the ground when it is thrown straight up from the cliff with an initial velocity of 8.4 m/s. Calculate the height of the cliff (in meters). Using that information, how long would it take to reach the ground if the rock is thrown straight down with the same speed?
Could you also show the formulas used. A person stands at the top of a building with 12m high throwing a ball up with initial velocity 12m/s, what is the position of the ball at 3.0sec? how long will the ball hit the ground? .
Two runners start at the same point on a straight track. The first runs with constant acceleration so that he covers 109 yards in 9 seconds. The second runner waits 3 seconds and then throws a rock at his opponent's head. If the head and the rock are at the same level form the ground, what must the initial magnitude of the velocity be if the rock is to hit the head just at the 109 yard tape? Give the...
Consider a projectile launched at a height h feet above the ground and at an angle θ with the horizontal. If the initial velocity is v0 feet per second, the path of the projectile is modeled by the parametric equations x = t(v0 cos(θ)) and y = h + (v0 sin(θ))t − 16t2. The center field fence in a ballpark is 10 feet high and 400 feet from home plate. The ball is hit h = 2 feet above the...
a baseball is hit when it is 3ft above the ground It leaves the bat with initial speed of 155 ft/sec A baseball is hit when it is 3 ft above the ground. It leaves the bat with initial speed of 155 ft/sec, making an angle of 16 questions with the horizontal. Assume there is linear drag with a drag coefficient k0.31. The acceleration due to gravity is g-32 ft/sec Answer the following ( sin a)1-k-) equations for linear drag,...
A home run is hit in such a way that the baseball just clears a wall 20.0 m high, located 126 m from home plate. The ball is hit at an angle of 37.0° to the horizontal, and air resistance is negligible. (Assume that the ball is hit at a height of 1.0 m above the ground.) (a) Find the initial speed of the ball. m/s (b) Find the time it takes the ball to reach the wall (c) Find the velocity components...
a. An attacker at the base of a castle wall 3.65 m high throws a rock straight up with speed 7.40 m/s from a height of 1.55 m above the ground. Will the rock reach the top of the wall? If so, how fast is it moving when it reaches the top. If not, what initial speed must it have to reach the top? b. To defend the castle, a rock is thrown downwards from the top of the wall with...
3. A baseball is projected upward form the top of 448 foot tall bulding with an initial velocity of 48 feet per second. The distance s of the baseball from the ground at any time t, in seconds, is glven by the equation s-16r2 +48t+448 How long will it take the ball to hit the ground? a. b. How high will the ball be in 6 seconds? When will the ball be 448 feet in the air? c. d. If...
Two friends are playing golf. The first friend hits a golf ball on level ground with an initial speed of 36.5 m/s at an angle of 31.0° above the horizontal. (a) Assuming that the a ands at the same height from which it was hit, how far away from the golfer, in meters, does it land? Ignore air resistance. What constant acceleration equations will allow you to find the range, given the speed and angle? (Note that, depending on your...