An overhead view of part of a pinball game is shown. If the plunger imparts an initial speed of 2.0 m/s to the ball at time t = 0, determine the acceleration a of the ball (a) at time t = 0.15 s and (b) at time t = 0.28 s. At point F, the speed of the pinball has decreased by 18% from the initial value, and this decrease may be assumed to occur uniformly over the total distance traveled by the pinball. Use the values r= 130 mm and 0 = 51° A Answers: L- ·r (a) t = 0.15 s, a = (b) t= 0.28 s, a = -x B (i (i r D. E T ● i+ i i+ i F j) m/s² j) m/s²
Q: At time t = 0 s, a puck is sliding on a horizontal table with a velocity 3.60 m/s, 35.0° above the…
A: Imagine a puck is initially sliding diagonally across a table. It's being slowed down by forces…
Q: From the top of a tall building, a gun is fired. The bullet leaves the gun at a speed of 340 m/s,…
A: in this question we determine distance D and H. we simply use newtons equation of motion. v = 340…
Q: An overhead view of part of a pinball game is shown. If the plunger imparts an initial speed of 3.8…
A:
Q: A rocket is fired at a speed of 80.0 m/s from ground level, at an angle of 33.0° above the…
A:
Q: total distance traveled,
A:
Q: A speeder travelling at a constant velocity of 40 m/s passes by a police car that is initially at…
A: Given: The velocity of the speeder is v = 40 m/s The police car is initially on the rest. The…
Q: A particle initially located at the origin has an acceleration of å = 2.1î m/s? and an initial…
A: According to the kinematic equations of motion: v→f = v→i + a→t where, v→f is the velocity at time…
Q: An object falls under the influence of gravity, starting from initial position y= 25.4 m and initial…
A:
Q: A bath toy is floating stationary in water such that half of the toy is above water and half of the…
A:
Q: Two fan carts are in a race. Fan cart A has a uniform acceleration of 5 (cm/s)/s, and starts the…
A: The motion of 2 fan carts are given. 1st fan cart's acceleration and initial position is given. 2nd…
Q: A rocket accelerates upward from rest, due to the first stage, with a constant acceleration of a1=…
A:
Q: A spacecraft on its way to Mars has small rocket engines mounted on its hull; one on its left…
A:
Q: A spacecraft on its way to Mars has small rocket engines mounted on its hull; one on its left…
A:
Q: Simplify as much as possible. Again, 0 is the Heaviside step function. +∞ (a) Evaluate (b) Evaluate…
A:
Q: A Chinook (King) salmon (Genus Oncorynchus) can jump out of water with a speed of 5.89 m/s. (See…
A: fish speed = 5.89m/s vertically upwards fish leave the water traveling vertically upwards
Q: Two soccer players start from rest, 43 m apart. They run directly toward each other, both players…
A: According to the given data S=43m v a1=0.49m/s2 a2= 0.46m/s2 we need tot find (a) time before they…
Q: A rocket accelerates upward from rest, due to the first stage, with a constant acceleration of a1 =…
A: Rocket starts from rest, so initial speed is u1=0 The expression for rocket's speed v1 at time t1 is…
Q: On a spacecraft two engines fire for a time of 567 s. One gives the craft an acceleration in the x…
A: Given: Timing of fire the engine (t) = 567 s. Acceleration of engine in direction x (ax) = 4.8 m/s2.…
Q: An object A is held at rest at a height H = 25 ft directly above another object B that is on the…
A: As object B moves with a speed rightwards, it will see that along with a downward motion, object A…
Q: A mountain climber stands at the top of a 57.3 m cliff hanging over a calm pool of water. The…
A:
Q: A golf ball is struck at ground level. The speed of the golf ball as a function of the time is shown…
A:
Q: A ball has an initial velocity of 1.50 m/s along the x-axis. Starting at t0=0, the ball receives an…
A: The velocity of an object accelerating is given by v= u+at, where u = initial velocity, a =…
Q: You throw a ball from the balcony onto a basketball court. You release the ball at a height of 7 m…
A: Given data: height h = 7 m Initial velocity u = 9 m/s angle θ=33o horizontal distance of friend r =…
Q: Write the position function of the baseball y(t). Assume the ball is at position y=0 and t=0.…
A:
Q: A particle moves along the x axis. It is initially at the position 0.250 m, moving with velocity…
A: As it is asked to solve the sub-parts (f and g), we will solve for the same. The given values are,…
Q: A rocket is fired vertically upward from the surface of the earth at a constant acceleration of 20.0…
A: Given:initial velocity, u = 0 m/sacceleration, a = 20 m/s2time, t = 30 sacceleration due to gravity,…
Q: A particle at rest leaves the origin with its velocity increasing with time according to v₁(t) =…
A: The initial velocity of the particle is v1t=3.3t m/s. After 5 s the velocity of the particle becomes…
Q: Approaching one of the many sharp horizontal turns in the Monaco Grand Prix, an experienced…
A: Given, Initial speed = 120 km/h final speed = 54.0km/h time interval =14.0 s and radius of curvature…
Q: The infamous chicken is dashing toward home plate with a speed of 5.7 m/s when he decides to hit the…
A: (a) The magnitude of acceleration is given by,
Q: A spacecraft on its way to Mars has small rocket engines mounted on its hull; one on its left…
A: ax = 5.10ms2ay = 7.30 ms2vx = 3550 msvy = 4498 mstime (t) = 640 seconds
Q: From the top of a tall building, a gun is fired. The bullet leaves the gun at a speed of 340 m/s,…
A:
Q: OK, yet another strange awakening in a room with no windows. This time you drop a ball from a height…
A:
Q: A spacecraft on its way to Mars has small rocket engines mounted on its hull; one on its left…
A: ax = 5.10 m/s2ay = 7.30 m/s2vx = 3515 m/s vy = 4136 m/s
Q: A speeder travelling at a constant velocity of 40 m/s passes by a police car that is initially at…
A:
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 5 images
- A catapult launches a test rocket vertically upward from a well, giving the rocket an initial speed of 80.4 m/s at ground level. The engines then fire, and the rocket accelerates upward at 3.80 m/s2 until it reaches an altitude of 1030 m. At that point its engines fail, and the rocket goes into free fall, with an acceleration of −9.80 m/s2. (You will need to consider the motion while the engine is operating and the free-fall motion separately.) (a) For what time interval is the rocket in motion above the ground? Your response differs from the correct answer by more than 10%. Double check your calculations. s(b) What is its maximum altitude? Your response differs from the correct answer by more than 10%. Double check your calculations. km(c) What is its velocity just before it hits the ground? m/sA spacecraft on its way to Mars has small rocket engines mounted on its hull; one on its left surface and one on its back surface. At a certain time, both engines 5.10 m/s, while the one on the back gives an acceleration turn on. The one on the left gives the spacecraft an acceleration component in the x direction of a, component in the y direction of a, = 7.30 m/s. The engines turn off after firing for 135 s, at which point the spacecraft has velocity components of y = 3810 m/s and v = 4168 m/s. What was the magnitude and the direction of the spacecraft's initial velocity before the engines were turned on? Express the 'y V magnitude as m/s and the direction as an angle measured counterclockwise from the +x axis. magnitude m/s direction ° counterclockwise from the +x-axisparticle A moves along the line y 30 m with a constant velocity of magnitude 3.0 m/s and parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with a zero initial speed and a constant acceleration of magnitude 0.40 m/s2.What angle u between and the positive direction of the y axis would result in a collision?
- On a spacecraft two engines fire for a time of 389 s. One gives the craft an acceleration in the x direction of ax = 3.41 m/s^2, while the other produces an acceleration in the y direction of ay = 7.34 m/s^2. At the end of the firing period, the craft has velocity components of vx = 1860 m/s and vy = 4290 m/s. Find the (a) magnitude and (b) direction of the initial velocity. Express the direction as an angle with respect to the +x axis.Current Attempt in Progress In the figure, particle A moves along the line y = 31.4 m with a constant velocity of magnitude 2.89 m/s and directed parallel to the x axis. At the instant particle A passes the y axis, particle B leaves the origin with zero initial speed and constant acceleration a of magnitude 0.434 m/s2. What angle between a and the positive direction of the y axis would result in a collision? A B 0 XSuppose the position vector for a particle is given as a function of time by , with x(t) = at + b and y(t) =ct2 + d, where a = 1.00 m/s, b = 1.00 m, c= 0.125 m/s2, and d = 1.00 m. (a) Calculate the average velocity during the time interval from t = 1.00 s to t = 4.00 s. (b) Determine the velocity and the speed at t = 3.00 s. (c) Determine the acceleration at t = 3.00 s.
- cdn.fbsbx.com Done At 1 = 0, one toy car is set rolling on a straight track with initial position 15.0 cm, initial velocity - 3.50 cm/s, and constant acceleration 2.40 cm/s2. At the same moment, another toy car is set rolling on an adjacent track with initial position 10.0 cm, initial velocity +5.50 cm/s, and constant acceleration zero. At what time, if any, do the two cars have equal speed? а. b. What are their speed at that time? At what time(s), if any, do the cars pass each other?A Lockheed Martin F-35 Lightning II jet takes off from an aircraft carrier with a runway length of 107 m and a takeoff speed 77 m/s at the end of the runway. Jets are catapulted into airspace from the deck of an aircraft carrier with two sources of propulsion: the jet propulsion and the catapult. At the point of leaving the deck of the aircraft carrier, the F-35's acceleration decreases to a constant acceleration of 4.8 m/s2 at 23° with respect to the horizontal. (Assume that the F-35's initial direction along the deck of the aircraft carrier is the +x-direction and that the +y-direction is up.) What is its velocity and speed at this time? (Enter your answers in m/s.) v(5.4 s)= (?î +?ĵ) v(5.4 s)= ? m/s How far (in m) has it traveled horizontally?Problem 6: An airplane takes off and flies upward at an angle of 23° with a constant speed of 256 m/s. While the plane is flying upward, a piece of the engine falls off when the plane reaches a height of 880 m. (While not part of the problem, assume the plane eventually lands safely.) Part (a) How long does it take the piece of the engine to reach the ground? Give your answer in seconds. Numeric : A numeric value is expected and not an expression. t = Part (b) What is the horizontal distance covered by the piece of the engine before it lands? Give your answer in meters. Numeric : A numeric value is expected and not an expression. d =
- Dock diving is great form of athletic competition for dogs of all shapes and sizes. Sheba, the American Pit Bull Terrier, runs and jumps off the dock with an initial speed of 9.02 m/s at an angle of 25.0° with respect to the surface of the water. Sheba begins at a height of 0.840 m above the surface of the water. What is her total time of flight up until the instant before she hits the water? Express your answer in seconds.Review Conceptual Example 15 before attempting this problem. Two identical pellet guns are fired simultaneously from the edge of a cliff. These guns impart an initial speed of 27.3 m/s to each pellet. Gun A is fired straight upward, with the pellet going up and then falling back down, eventually hitting the ground beneath the cliff. Gun B is fired straight downward. In the absence of air resistance, how long after pellet B hits the ground does pellet A hit the groundThe position of a particle along the positive x-axis is given by the following function r = 1t3 +14t2 +4, find the speed of the particle at time t=17, where t is in seconds and r is in cm. Recall that the velocity can be found by taking the derivative of the position vector. Express your answer in cm/s.