A ball dropped from the top of the building takes 0.2 s to pass a window 4.2 m high. How far is the top of the window below the top of the building?
Question
A ball dropped from the top of the building takes 0.2 s to pass a window 4.2 m high. How far is the top of the window below the top of the building?
Solution
To solve this problem, we need to use the equation of motion which is:
d = ut + 0.5gt^2
where: d = distance u = initial velocity t = time g = acceleration due to gravity
Given in the problem: u = 0 (since the ball is dropped, not thrown) t = 0.2 s (time taken to pass the window) g = 9.8 m/s^2 (approximate value of acceleration due to gravity) d = ? (we need to find this)
Substituting the given values into the equation:
d = 0*(0.2) + 0.59.8(0.2)^2 d = 0 + 0.59.80.04 d = 0.196 m
This is the distance the ball falls in the time it takes to pass the window. However, we know that the window is 4.2 m high, so the ball must have fallen from a point above the window. Therefore, the top of the window is:
4.2 m (height of the window) + 0.196 m (distance the ball
Similar Questions
A rock is thrown at a window that is located 18.0 m above the ground. The rock is thrown at an angle of 40.0° above horizontal.The rock is thrown from a height of 2.00 m above the ground with a speed of 30.0 m/s.If the rock strikes the window on its upward trajectory, from what horizontal distance from the window was it released?Ignore air resistance and express your answer in meters.
A ball is thrown from the top of one building toward a tall building 50m away. The initial velocity of the ball is 20m/s with 40.0o above horizontal. What is the height of the ball when it strikes the opposite wall? (Define upward as positive direction)
A student drops an object from the top of a building 19.6 meters from the ground. How long does it take the object to fall to the ground?A 2.00 secondsB 3.00 secondsC 4.00 secondsD 19.6 seconds
A ball is thrown vertically downwards with an initial speed of 4.0 m s-1. The ball hits the groundwith a speed of 16 m s-1. Air resistance is negligible. What is the time of fall and what is thedistance travelled by the ball?
A stone is projected horizontally with a velocity of 10m/s from the top of a building 39.2 m high. How long will the stone take to hit the ground.
Upgrade your grade with Knowee
Get personalized homework help. Review tough concepts in more detail, or go deeper into your topic by exploring other relevant questions.