In order to defeat Bowser, suppose Mario launched a stone from his sling with an initial velocity of 30.5 m/s at an angle θ=20 degrees above the horizontal. The stone flies through the air and strikes Bowser between the eyes exactly 2.00 seconds after it was released. Assume Mario and Bowser are standing on flat ground, and the stone strikes Bowser on its way back down (after reaching its maximum height). You may neglect air resistance.
A) how far away is Bowser standing from Mario?
B) How many seconds after Mario released the stone did it reach its maximum height?
C) Suppose Mario released the stone from about his eye-level, and the stone eventually strikes Bowser at his eye-level (between the eyes). How many feet taller is Bowser than Mario (use 1 m = 3.28ft.
D) What is the stone's total velocity (magnitude and direction) just before it strikes Bowser between the eyes?
In order to defeat Bowser, suppose Mario launched a stone from his sling with an initial...
A stone is tossed vertically into the air from ground level with an initial velocity of 15 m/s. Its height at time t is h(t)=15t-4.9t^2.Compute the stone's average velocity over the time interval [0.5, 2.5]. It says the answer is .3, but I keep getting something not close to that...
A hiker throws a stone from the upper edge of a vertical cliff. The stone's initial velocity is 25.0 m / s directed at 40.0° with the face of the cliff, as shown in the figure. The stone hits the ground 3.75 s after being thrown and feels no appreciable air resistance as it falls.(a) What is the height of the cliff?(b) How far from the foot of the cliff does the stone land?(c) How fast is the stone moving...
show work 4. Suppose a stone is launched vertically upward with initial velocity 32 ft/sec from a height of 48 ft above ground. After t seconds its height is given by s(t) = -16t2 + 32t + 48 At the time when the stone hits the ground it is moving with a speed of A. 32 ft/s B. 24 ft/s C. 64 ft/s D. 48 ft/s E. 96 ft/s
A hiker throws a stone from the upper edge of a vertical cliff. The stone's initial velocity is 25.0 m/s directed at 40.0° with the face of the cliff, as shown in the figure. The stone hits the ground 3.75s after being thrown and feels no appreciable air resistance as it falls. (a) What is the height of the cliff (b) How far from the foot of the cliff does the stone land? (c) How fast is the stone moving...
A stone thrown from the top of a building is given an initial velocity of 40.0 m/s straight upward. The stone is launched 60.0 m above the ground, and the stone just misses the edge of the roof on its way down. a. Find the maximum height of the stone. b. Using t=0 as the time the stone leaves the thrower’s hand, determine the time at which the stone reaches its maximum height c. Find the velocity and position of...
A stone thrown from the top of a building is given an initial velocity straight upward, v0,y= 29ms. The height of the building is 50m. Calculate the maximum height, above the ground, the stone reaches. A stone thrown from the top of a building is given an initial velocity straight upward, v0,y= 29ms. The height of the building is 50m. After how long does the stone reach its maximum height ?
3. A stone is shot up vertically in the air from the ground with an initial speed of 60 m/s. i) Calculate the height from the ground and the speed ofthe stone 7 seconds after It was shot. (ii) 7 seconds after the hot, is the stone moving upward or downward? Justify your (ii) Calculate the maximam height from the ground the stone will reach. 2.You ary at the top ofa 90 m ผ wer, you tossihp a' stone, Calculate...
A projectile is launched straight up from ground level with an initial velocity of v0 per sec. Neglecting air resistance, its height in feet, s, after t seconds after launch is given by the equation s = –16t2 + v0t. At what time(s) will the projectile reach a height of 112 feet when v0 = 96 feet/sec? After how many seconds will it return to the ground when v0 = 96 feet/sec?
9). A small bag of sand is released from an ascending hot‑air balloon whose constant, upward velocity is ?0=2.75 m/s. Knowing that at the time of the release the balloon was 58.3 m above the ground, determine the time ? it takes for the bag to reach the ground from the moment of its release. Use ?=9.81 m/s2. r= 10) You throw a baseball directly upward at time ?=0 at an initial speed of 14.1 m/s. What is the maximum height...
A small rubber ball is launched by a compressed-air cannon from ground level with an initial speed of 13.5 m/s directly upward. Choose upward as the positive direction in your analysis. (a) What is the maximum height above the ground that the ball reaches? m (b) How long does it take to reach the maximum height? s (c) How long does it take to reach the ground after it reaches its highest point? s (d) What is its velocity just...