Question

A race car moves such that its position fits the relationship x = (4.0 m/s)t + (0.65 m/s3)t3 where x is measured in meters and t in seconds. (a) A plot of the car's position versus time is which of the following? WebAssign Plot WebAssign Plot WebAssign Plot WebAssign Plot (b) Determine the instantaneous velocity of the car at t = 3.6 s, using time intervals of 0.40 s, 0.20 s, and 0.10 s. (In order to better see the limiting process keep at least three decimal places in your answer.) Δt = 0.40 s m/s (Use the interval from t = 3.40 s to 3.80 s.) Δt = 0.20 s m/s (Use the interval from t = 3.50 s to 3.70 s.) Δt = 0.10 s m/s (Use the interval from t = 3.55 s to 3.65 s.) (c) Compare the average velocity during the first 3.6 s with the results of part (b). The average velocity of m/s is about the same as the instantaneous velocity.

Answer #1

A race car moves such that its position fits the
relationship
x = (5.5 m/s)t + (0.60
m/s3)t3
where x is measured in meters and t in
seconds.
(b) Determine the instantaneous velocity of the car at
t = 4.2 s, using time intervals of 0.40 s, 0.20 s, and
0.10 s. (In order to better see the limiting process keep at
least three decimal places in your answer.)
Δt = 0.40 s . (???????) . m/s (Use the
interval...

A particle moves according to a law of motion s = f(t), t ≥ 0,
where t is measured in seconds and s in feet. (If an answer does
not exist, enter DNE.) f(t) = t3 − 8t2 + 27t (a) Find the velocity
at time t. v(t) = ft/s (b) What is the velocity after 1 second?
v(1) = ft/s (c) When is the particle at rest? (d) When is the
particle moving in the positive direction? (Enter your...

please do 1,2 and 3 thanks
1.The position of a particle moving along the x axis is
given in centimeters by x = 9.12 + 1.75
t3, where t is in seconds. Calculate
(a) the average velocity during the time interval
t = 2.00 s to t = 3.00 s; (b)
the instantaneous velocity at t = 2.00 s;
(c) the instantaneous velocity at t =
3.00 s; (d) the instantaneous velocity at
t = 2.50 s; and (e) the...

a. A tiger leaps from the ground into the air with a speed of
15.0 m/s at an angle of 20.0 degrees above the horizontal and then
eventually lands back on the ground. Neglect air resistance. Find
the total time the tiger is in the air.
b. An object is moving in a straight line such that its position
is given by the equation x=4t+2t2+3 where x is in meters
and t is in seconds. Find the average velocity between...

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