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An object moving in a straight line has velocity v m s-1 that changes with time...
6.1.35 Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t)= cos xt, v(0) = 4, s(0) = 1 The velocity is v(t)- Type an exact answer.)
The figure shows the velocity of an object moving along a straight line as a function of time. Determine: a) The displacement of the object for the first 9 secondsb) The object's average velocity from t = 0 s tot=9 s.c) The object's average acceleration from t = 0 tot = 5 seconds.c) The acceleration of the object at t =8 seconds.
Consider an object moving along a line with the following velocity and initial position. Assume time t is measured in seconds and velocities have units of m/s. Complete parts (a) through (d) below. Consider an object moving along a line with the following velocity and initial position. Assume time t is measured in seconds and velocities have units of m/s. Complete parts (a) through (d) below. v(t) = -1-2cos for Osts (0) = 0 (**). a. Over the given interval,...
Find an expression for the velocity function, v(t), of an object moving in a straight line if the object's acceleration function is 7 sin(t) +0.06 and the object's initial velocity is 155 ft/s. Then use your function to determine the object's velocity after 28 seconds.
The velocity of a particle moving in a straight line is given by v(t) = 2 + 2. (a) Find an expression for the position s after a time t. s(t) = + C (b) Given that s = 3 at time t = 0, find the constant of integration C. C = 1 Find an expression for s in terms of t without any unknown constants. HINT [See Example 7.]
A car is moving in a straight line according to the equation s = 1 + 2te , when s is measured in meter and t in second, a) Find the instantaneous velocity and acceleration at t = 2.0 s At what times is the object at rest? c) At what times the net force on the object is zero? [5 mark]
Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t)= -0.06, V(0) = 3, and s(0) = 0 v(t) = (Round to four decimal places as needed.) s(t)=0 (Round to four decimal places as needed.)
Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position. a(t) = -0.01, v(0) = 4, and s(0) = 0 v(t) =D (Round to four decimal places as needed.) s(t)= (Round to four decimal places as needed.)
The velocity in mm/s of an object moving on a straight line is 200 multiplied by s (s given in mm). If the starting point at time zero is s = 0.5m, what is its acceleration when s = 2m and the time required to reach this position. 4. The velocity in mm/s of an object moving on a straight line is 200 multiplied by s (s given in mm). If the starting point at time zero is s time...
o Find the position and velocity of an object moving along a straight line with the given acceleration, initial velocity, and initial position a(t) = -0.06t, v(0) = 6, and s(0) = 0 v(t)=0 (Round to four decimal places as needed.) s(t)=0 (Round to four decimal places as needed.)