Question

In: Physics

An object starts at the position 4.8x̂ + -9.7ŷ m, with an initial velocity of 1.5x̂...

An object starts at the position 4.8x̂ + -9.7ŷ m, with an initial velocity of 1.5x̂ + -4.4ŷ m/s. It has an acceleration of -0.152x̂ + 0.686ŷ m/s2. After 2.31 s, what is its speed? Report your result in SI units, rounded to one decimal place.

Solutions

Expert Solution

We can see that particle is moving in +ve x axis and in the -ve y axis. So we see the component of acceleration in +ve x direction and -ve y direction. We see that there is deceleration in both directions +ve x as well as -ve y. So velocity components in these directions expected to be decrease. We have then write Newton's equation of motion for both components separately. You follow the solution for further details and if you have any doubt, feel free to ask in the comments.


Related Solutions

An object has initial position r0 = (-1,1) meters, initial velocity v0 = (-0.5, 2) m/s,...
An object has initial position r0 = (-1,1) meters, initial velocity v0 = (-0.5, 2) m/s, and  acceleration a = (0.1, -0.5) m/s. In the following questions, if there is more than one possible answer, use the positive answer. a) At what time is the y component of the velocity equal to 0? b) At what time is the y component of the position equal to 0? c) At what time is the x component of the velocity equal to 0?...
Assume a ball starts at (x, y) = (0.0 m, 0.0 m) with an initial velocity...
Assume a ball starts at (x, y) = (0.0 m, 0.0 m) with an initial velocity of 25.0 m/s at an angle (θ) of 65.0o relative to the positive x-axis. (x, y) = (0.0 m, 0.0 m) (vi, θ) = (25.0 m/s, 65.0o) Using the appropriate kinematics equations and the initial values, determine the position and velocity at t = 2.40 s by completing a to f below. You may wish to enter the launch speed and direction into the...
An object is thrown upward with an initial velocity of 32.1 m/s. When the object reaches...
An object is thrown upward with an initial velocity of 32.1 m/s. When the object reaches it maximum height, it is true of the acceleration, a, and the velocity, v, that: both its acceleration and velocity are zero both its acceleration and velocity change sign velocity is equal to zero, but acceleration is not acceleration is equal to zero, but velocity is not None of the above. Please help. Only one answer is true. Please give reason why.
An object is launched with an initial velocity of 50.0 m/s at a launch angle of...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of 36.9∘ above the horizontal. Determine x-values at each 1 s from t = 0 s to t = 6 s. Determine y-values at each 1 s from t = 0 s to t = 6 s. Determine vx-values at each 1 s from t = 0 s to t = 6 s. Determine vy-values at each 1 s from t = 0 s to...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of...
An object is launched with an initial velocity of 50.0 m/s at a launch angle of 36.9? above the horizontal. A.Determine x-values at each 1 s from t = 0 s to t = 6 s. B.Determine y-values at each 1 s from t = 0 s to t = 6 s. C.Determine vx-values at each 1 s from t = 0 s to t = 6 s. D.Determine vy-values at each 1 s from t = 0 s to...
object m1 = 1.50 kg starts at an initial height h1i = 0.290 m and speed...
object m1 = 1.50 kg starts at an initial height h1i = 0.290 m and speed v1i = 4.00 m/s, swings downward and strikes (in an elastic collision) object m2 = 4.40 kg which is initially at rest. Determine the height (in m) to which each ball swings after the collision (ignoring air resistance). m1= m m2= m
An object is thrown vertically upward with an initial velocity of 10 m/sec from a height...
An object is thrown vertically upward with an initial velocity of 10 m/sec from a height of 3 meters. In meters, find the highest point it reaches. (Round your answer to three decimal places, in m) Find when it hits the ground. (Enter your answer in seconds. Round your answer to three decimal places in seconds)
A 0.40 kg pendulum bob starts with an initial velocity of 2.0 m/s is released from...
A 0.40 kg pendulum bob starts with an initial velocity of 2.0 m/s is released from a height of 0.275 m. It collides at the bottom of its swing with a 1.3 kg ball which is at initially at rest. (a) Find the speed of the pendulum bob just before it strikes more massive ball at rest. (b) Assume the collision is elastic. Determine the magnitude and direction of the velocities following the collision. (c) Using conservation of energy, determine...
An object of mass 3.05 kg, moving with an initial velocity of 4.90 i hat m/s,...
An object of mass 3.05 kg, moving with an initial velocity of 4.90 i hat m/s, collides with and sticks to an object of mass 2.01 kg with an initial velocity of -3.62 j hat m/s. Find the final velocity of the composite object. v=(......i+.....j)
A mass m=29.0 kg slides on a frictionless track with initial velocity vA=16.5 m/s at Position...
A mass m=29.0 kg slides on a frictionless track with initial velocity vA=16.5 m/s at Position A with height hA=53.1 m. It passes over a lower hill with a height hB=26.4 m (at Position B) before stopping by running into a large spring with spring constant k=5058 N/m at Position C at height hC=23.5 m. The mass is brought to a stop at Position D, after compressing the spring by a length of d. Find the speed of the object...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT