1.The "kinematic equations" are used to solve problems when there is a particle with constant acceleration....
1.The "kinematic equations" are used to solve problems when there is a particle with
| constant acceleration. |
| increasing acceleration. |
| variable acceleration. |
| decreasing acceleration. |
2.
A Honda Civic initially starts from rest, then accelerates at a rate of 3 m/s2 for 10 s. What is its final velocity?
| 30 m |
| 30 m/s |
| 3 m/s |
|
0.3 m/s 3. magnitude of this acceleration is approximately 9.80 m/s2, and is known as the acceleration due to gravity. We use the following symbol to indicate this value:
|
4.
Velocity equals the ___________ of the position with respect to time.
5.
A velocity-time graph is drawn to represent the motion of a particle. The area under the curve from tito tf is equal to the particle's
| acceleration. |
| velocity. |
| displacement. |
| position. |
Homework Answers
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1.The "kinematic equations" are used to solve problems when
there is a particle with
constant acceleration....
The vector position of a particle varies in time according to the expression r = 8.20...
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
A particle leaves the origin with an initial velocity v⃗ =(2.40m/s)x^, and moves with constant acceleration...
A particle leaves the origin with an initial velocity v⃗ =(2.40m/s)x^, and moves with constant acceleration a⃗ =(−1.90m/s2)x^+(3.20m/s2)y^. How far does the particle move in the x direction before turning around? What is the particle's velocity at this time? Calculate the particle's position at t = 0.500 s, 1.00 s, 1.50 s, and 2.00 s. Use these results to sketch x and y positions versus time for the particle.
The vector position of a particle varies in time according to the expression - 6.20 -...
The vector position of a particle varies in time according to the expression - 6.20 - 9.00-2, where † is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any varlable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and...
The acceleration of a particle is a constant. At t = 0 the velocity of the...
The acceleration of a particle is a constant. At t = 0 the velocity of the particle is (14.0↑ + 14.9 your answers.) m/s. At t = 5.1 s te velocity is 1 1.4j m/s. (Use the following as necessary: t. Do not include units in (a) What is the particle's acceleration (in m/s)? a = | |- 2.75 | 1+1-0.69 j (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is...
1. A particle is moving along a straight path such that the acceleration a (3v2-2) m/s2,...
1. A particle is moving along a straight path such that the acceleration a (3v2-2) m/s2, where v is in m/s. If v = 15 m/s when s-0 and 1-0, please determine the particle's position, velocity, and acceleration as functions of time
The acceleration of a particle as it moves along a straight line is given by a=(2t−1)...
The acceleration of a particle as it moves along a straight line is given by a=(2t−1) m/s2, where t is in seconds. Suppose that s = 4 m and v = 8 m/s when t = 0. a)Determine the particle's velocity when t = 4 s . b)Determine the particle's position when t = 4 s c)Determine the total distance the particle travels during the 4-s time period.
The vector position of a particle varies in time according to the expression r with arrow...
The vector position of a particle varies in time according to the expression r with arrow = 7.40 î − 5.00t2 ĵ where r with arrow is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) v with arrow = m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol...
At t = 0, a particle moving in the xy plane with constant acceleration has a...
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vector v i = (3.00 i - 2.00 j) m/s and is at the origin. At t = 3.60 s, the particle's velocity is vector v = (8.90 i + 7.70 j) m/s. (Use the following as necessary: t. Round your coefficients to two decimal places.) (a) Find the acceleration of the particle at any time t. vector a = m/s2 (b)...
At t = 0, a particle moving in the xy plane with constant acceleration has a...
At t = 0, a particle moving in the xy plane with constant acceleration has a velocity of vector v i = (3.00 i - 2.00 j) m/s and is at the origin. At t = 3.70 s, the particle's velocity is vector v = (7.40 i + 6.90 j) m/s. (Use the following as necessary: t. Round your coefficients to two decimal places.) (a) Find the acceleration of the particle at any time t. vector a = m/s2 (b)...
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j...
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and velocity...
The vector position of a particle varies in time according to the expression r = 8.20 i-5.60p j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) x m/s Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) X m/s2 (c) Calculate the particle's...
The vector position of a particle varies in time according to the expression - 6.20 - 9.00-2, where † is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any varlable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and...
The acceleration of a particle is a constant. At t = 0 the velocity of the particle is (14.0↑ + 14.9 your answers.) m/s. At t = 5.1 s te velocity is 1 1.4j m/s. (Use the following as necessary: t. Do not include units in (a) What is the particle's acceleration (in m/s)? a = | |- 2.75 | 1+1-0.69 j (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is...
1. A particle is moving along a straight path such that the acceleration a (3v2-2) m/s2, where v is in m/s. If v = 15 m/s when s-0 and 1-0, please determine the particle's position, velocity, and acceleration as functions of time
The vector position of a particle varies in time according to the expression r-7.40 i-8.20t2 j where r is in meters and t is in seconds. (a) Find an expression for the velocity of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s (b) Determine the acceleration of the particle as a function of time. (Use any variable or symbol stated above as necessary.) m/s2 (c) Calculate the particle's position and velocity...
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