You are standing on a rooftop of a building, 70.0 high. You throw a stone directly upward at an initial speed of 15.0 m/s and leaves your hand 1.75 m above the rooftop. What is the highest point reached by the stone? * 3 sig fig Your answer
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- A ball is dropped from a window 50 m above the ground. a) How long does it take the ball to reach theground?b) What is its final velocity?2. A pebble was dropped from the window of a building, 80 meters above the ground. a) How many seconds willit take the pebble to reach the ground? b) How fast is it after 2.0 seconds? c) When will its velocity be 25 m/s?3. A stone is tossed upward at the moment a ball is dropped from a height of 25 meters. The stone’s initialvelocity is 25 m/s. At what height will the two meet? In how many seconds.4. A ball is thrown downward with an initial velocity of 20 ft/s. a) How fast is it moving 2s later? b) How fardoes it fall in these time ?olem 1. A stone is dropped from the top of a building and falls freely from rest. What is its position (height) and its velocity after 1.0s, 2.0s, and 3.0s? To find for the position (height), we will use: Know that initial velocity (vi) = 0 a. Find h after 1.0s h=0(1.0s)-(9.8 m/s)(1.0s)2 2 |h=v₁t - 9² 2 h=0-9.8m 2 h=-4.9 m (negative sign denotes downward direction) b. Find h after 2.0s h=0(2.0s) - (9.8 m/s²)(2.0s)² 2 h=0-39.2 m 2 h = -19.6 m or 19.6 m downward Given: v₁ = 20 m/s Find: a. v after 1s b. v after 5s c. d after 1s d. t from origin to maximum height d from origin to maximum height e. Solutions: a. y after is use: V₁ = v₁ - gt vy=20 m/s-(9.8 m/s²)(1.0s) vy= 20 m/s -9.8 m/s vy=10.2 m/s b. v after 2s use: Sample Problem 2. A boy threw a ball upward with an initial velocity of 20 m/s and was able to catch it before it reached the ground on its return. a. What was the ball's velocity after 1s? b. What was the ball's velocity after 2s? c. What was its displacement after 1s? d. How…1. A parkour enthusiast attempts a dangerous jump from building to building, which involves a drop of 4.05 m from rooftop to rooftop across a gap of 5.20 m. He can run at a maximum speed of 5.80 m/s. a) Show that he can safely make the jump. (Assume that his initial velocity is horizontal. b) How fast is he moving just before he lands?
- 1. You throw a ball vertically upward from the roof of a building the ball leaves your hand at a point even with a roof railing with an upward speed of 15m/s .The ball is then to free to fall. Find the following: a. The position and velocity of the ball 1.0s and 4.0 s after leaving your hands ( Sts =10.095 m, Ses=-18.48 m, Vi=5.19m/s, Va-24.24m/s) b. The velocity when the ball is 5.0m above the railing (v = +11.26m/s) c. The maximum height reached and the time at which it is reached (tma=1.529s, Smax=11.467) d. The acceleration of ball when it is at its maximum heightWhat is the 7. A ball is thrown straight up with an initial speed of 50 maximum height the ball will reach ?. (assume: g = 9.81 m/s²).1.A ball is thrown straight up with an initial speed of 12 m/s. What are the velocity and acceleration when it is at the top of its trajectory? Select all apply. a=9.8m/s^2 v=12m/s a= -9.8m/s^2 v=-12m/s v=0 a=0 2. A ball is thrown straight up with an initial speed of 12 m/s. What are the velocity and acceleration when it is back to its original height? a=9.8m/s^2 v=12m/s a= -9.8m/s^2 v=-12m/s v=0 a=0
- A ball is dropped from a height of 6m above the ground. The velocity of the ball when reaching the ground is O a. 7.66 m/s O b. -10.84 m/s O c. -9.8 m/s O d. 10.84 m/sA rock is thrown from a top of a 100m tall building with an initial horizontal velocity if 5m/s. It reached the ground after 2.3s. 1. What is the velocity of the rock at exactly 1s? 2. What is the velocity of the rock as it hits the ground? 3. What is the total time of falling? 4. What is the range?My Courses Log ou 14. Jun throws a stone straight upward alongside a tree with an initial velocity of 32 ft/sec. The stone rises until it is even with the top of the tree and then falls back to the ground. How tall is the tree? A. 16 ft В. 20 ft C. 32 ft D. 64 ft 15. Which of the following statements is/are false? I. A particle moves to the right of the origin when its velocity is positive. II. A particle is not moving when its acceleration is zero. III. A particle's speed is decreasing when its velocity and acceleration have opposite directions. A. I only B. II only C. II and III D. I and III 16. A dynamite blast blows a heavy rock straight up with a launch velocity of 160 ft/sec. It reaches a height of s=16ot -16t2 aftert sec. How high does the rock go? A. 350 ft В. 400 ft C. 450 ft D. 475 ft
- A ball is dropped from a height of 6m above the ground. The velocity of the ball when reaching the ground is, a. 7.66 m/s O b. -9.8 m/s Oc. 10.84 m/s O d. -10.84 m/sA girl is standing at the edge of a cliff 100. m above the ground. She reaches out over the edge of the cliff and throws a rock straight upward with a speed 8.00 m/s. a) How long does it take the rock to hit the ground? b) What is the speed of the rock the instant before it hits the ground? Please type answerA book slides off a horizontal table top with a speed of 1.10 m/sm/s. It strikes the floor after a time of 0.410 ss. Ignore air resistance. I got the 1st 2 questions and need help w the last 4 if possible. Thanks!! I wrote my answers to the first 2. 1. Find the height of the table top above the floor. =.825m 2. Find the horizontal distance from the edge of the table to the point where the book strikes the floor. = .451m 3. Find the magnitude of the horizontal component of the book's velocity just before the book reaches the floor. =?? 4. Find the magnitude of the vertical component of the book's velocity just before the book reaches the floor.=?? 5. Find the magnitude of the book's velocity just before the book reaches the floor.=?? 6. Find the direction of the book's velocity just before the book reaches the floor.=??