---### Problem: Measuring the Height of a Cliff6) Bob wants to measure the height of a cliff. Unfortunately, he only has with him a stopwatch and a baseball. Luckily, he has a plan. While Jane stays at the bottom of the cliff, Bob climbs up the cliff face. When he reaches the top, he throws the baseball as hard as he can, with a velocity of 33.7 m/s at an angle of 22.5°. Some time later, Jane shouts that the ball landed 127 m from the bottom of the cliff. a) If Bob threw the ball from 1.50 m above the clifftop, how high is the cliff itself?---This problem involves using physics, specifically kinematics, to determine the height of a cliff based on given parameters of the thrown ball. The setup involves determining the vertical displacement caused by the baseball being thrown from a known height and angle. #### Explanation:- **Initial Velocity (v₀)**: 33.7 m/s- **Angle of Projection (θ)**: 22.5°- **Horizontal Distance (d)**: 127 m- **Initial Height of Throw (h₀)**: 1.50 m above the clifftop##### Steps to Solve:1. **Resolve the initial velocity into horizontal (v₀x) and vertical (v₀y) components:** - \( v₀x = v₀ \cdot \cos(\theta) \) - \( v₀y = v₀ \cdot \sin(\theta) \)2. **Calculate the time of flight (t) using the horizontal motion:** - \( d = v₀x \cdot t \) - \( t = \frac{d}{v₀x} \)3. **Calculate the vertical displacement (y) using the vertical motion:** - Equation of motion: \( y = v₀y \cdot t - \frac{1}{2} g t^2 \) - g (acceleration due to gravity) ≈ 9.8 m/s²4. **Determine the total height of the cliff:** - Total height (H) = displacement \(\Delta y\) + initial height (h₀)By substituting the above-calculated values into their respective equations, the height of

Given Data: The angle of projection is θ=22.5˚. The height above the cliff top is h=1.5. The angle…

Answered: 6) Bob wants to measure the height of a…

Similar questions

Sofia is playing a game with her friend, Kara, where she throwsM&M candies at Kara and Kara catches the M&M’s in hermouth. They begin standing 1.75 meters apart from eachother. Sofia throws the M&M at an angle of 60 degrees abovethe horizontal with a speed of 4.13 m/s. Kara’s mouth is145 cm above the ground when she catches the M&M. Whatheight above the ground did the M&M leave Sofia’s hand?Hint: Remember, even though the motion in the horizontaldirection is independent of the motion in the vertical direc-tion, they share the same time.
A hot air balloon has just lifted off and is rising at a constant rate of 2.0 m/s. Suddenly one of the passengers realizes she has left her camera on the ground. A friend picks it up and tosses it straight upward with an initial speed of 12 m/s. If the passenger is 2.5 m above her friend when the camera is tossed, how high is she above her friend when the camera reaches he ?
A projectile is shot at an upward angle of 35.2° with a speed of 11.3 m/s. How far does the projectile move horizontally in 0.595 s? Express your answer in meter to 3 significant figures. Use g=9.81 m/s².
At the lowest point of the waterfalls, water is moving at a speed of 40.0 meters per second. If the waterfall's height is 22.7 m. What is the water's velocity at the maximum height of the falls? A 36.89 m/s B 22.24 m/s 17.29 m/s D 14.93 m/s E) 33.99 m/s
Particle A has m=10.0g, RA=(4.0, 0.0)m, VA-(-1.0, 2.0)m/s. Particle B has m=5.0g, R0.0, 6.0)m, VB (1.0,-1.0)m/s. A) What is the position of B relative to A? What is the velocity of B relative to A? B) What is the angle between the two relative vectors that you calculated in A)? C) What is the significance of this result? D) What is the momentum of each particle? E) What is the angular momentum of A about the origin? F) If these particles collided, what would be conserved, and under what circumstances?
40 30 Figure 1. The red points from 1 to 15 show the successive locations of a puck at times t=0s, 1/6 s, 2/6 s, 3/6 s, 4/6 s, etc. Connecting these points with the blue curve shows the puck's trajectory. The blue coordinate system is tilted and displaced with respect to the black coordinate system. 20 15 In Figure 1, at red point 1 is the x-component of the velocity of the puck positive or negative? 10 25 10 35 40 45 50. 55 Use the blue coordinate system. O Negative O Positive
A projectile is thrown from the top of a cliff with an initial speed of 25 m/s at an angle of 600 up from the horizontal. If the projectile lands 100 m from the base of the cliff how tall is the cliff?
Emily throws a soccer ball out of her dorm window to Allison, who is waiting below to catch it. Emily throws the ball at an angle of 30° below horizontal with a speed of 12 m/s, and Allison catches it 2.5 s later. How far from the base of the dorm does Allison stand to catch the ball, in meters? Use g = 10.0 m/s2.
A student launches a small rocket which starts from rest at ground level. At a height h=1.04km, the rocket reaches a speed of vf=391m/s. At that height, the rocket runs out of fuel, so there is no longer any thrust propelling it. After the rocket's engine turns off at a height of h=1.04km, it continues to move upward due to the velocity that it reached. What is the rocket's acceleration, in meters per squared second, during the period from engine shutoff until it returns to the ground? Ignore air resistance.
Before jumping from the bridge, Martin throws his water bottle to a friend standing on the bank of the lake. The bridge is 7.0 m high. The friend is standing on the bank 15.0 m from the base of the bridge with their hand 1.0m above the ground. What speed must Martin throw the bottle horizontally for it to reach his friend's hand?
A person throws a ball with speed 102 m/s at a 45° angle. How many seconds faster would the ball arrive if the person threw the ball at the same speed and the same distance but made the trip in two identical bumps. Assume that there is no loss of speed at the bounce. Hint: Use R = v2/g * sin(2θ) and t=2*vy(sinθ)/g.
A cannon ball is fired at a wall that is 300 m away on level ground. The initial velocity of the cannon is 89 m/s, 40° above the horizontal. Don't assume the ball hits the wall at maximum height! What is the y-component of the ball's velocity when the ball hits the wall? h V; = 89 m/s 40° 300 m O 89.0 m/s O 9.81 m/s O 7.60 m/s O 18.2 m/s O 14.1 m/s O 2.99 m/s

SEE MORE QUESTIONS