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.
(a) A plot of the car's position versus time is which of the
following?
(b) Determine the instantaneous velocity of the car at
t = 5.0 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...
The position of a particle as a function of time is given by x=(2.0m/s)t+(−3.0m/s3)t^3. Part A Plot x versus t for time from t=0 to t=1.0s. Part B Find the average velocity of the particle from t = 0.25 s to t = 0.35 s . Part C Find the average velocity of the particle from t = 0.29 s to t = 0.31 s . Part D Do you expect the instantaneous velocity at t = 0.30 s to...
Plot z versus t for t 0tot-2s ime is given No elements selected r(m) 30 10 20
The velocity-versus-time graph is shown for a particle moving
along the x-axis. Its initial position is x0 = 1.0 m at t0
=0s Part A What is the particle's position at t = 1.0 s? Part B What is the particle's velocity at t = 1.0 s? Part C What is the particle's acceleration at t = 1.0 s? Part D What is the particle's position at t = 3.0 s ?
A race car moves such that its position fits the relationship x (6.0 m/s)t +(0.85 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? x (m) 240 x (m) 240 220 200 18 16 12 14 60 r (s) t (s) 1.00 2.00 3.00 4.00 5.00 6.00 1.00 2.00 3.00 4.00 5.00 6.00 x (m) 30 25 x (m) 15 r (s) t (s)...
The position of a particular particle as a function of time is given by r = (9.80t·i-885j-1.00 t2·k)m, where t is in seconds. Part AWhat is the average velocity of the particle between t=1.00 s and t=3.00 S? Part B What is the magnitude of the instantaneous velocity at 3.00 s?
The velocity-versus-time graph is shown for a particle moving along the x-axis. Its initial position is x0 = 1.8 m at t0 = 0 s. (Figure 1) Part A What is the particle's position at t = 1.0 s ? Part B What is the particle's velocity at t = 1.0s? Part C What is the particle's acceleration at t = 1.0 s? Part D What is the particle's position at t = 3.0s? Part E What is the particle's velocity at t = 3.0s? Part...
Object A has a position as a function of time given by r A(t) = (3.00 m/s)t i^ + (1.00 m/s2)t2 j^. Object B has a position as a function of time given by rB(t) = (4.00 m/s)t i^ + (−1.00 m/s2)t2 j^. All quantities are SI units. What is the distance between object A and object B at time t = 3.00 s?
A particle is moving with acceleration a(t) 36t +16. its position at time t0 is s(0) 12 and its velocity at timet0 is (0)-1. What is its position at time t- 12? Preview
A particle is moving with acceleration a(t) 36t +16. its position at time t0 is s(0) 12 and its velocity at timet0 is (0)-1. What is its position at time t- 12? Preview
Object A has a position as a function of time given by r⃗ A(t) = (3.00 m/s)t i^ + (1.00 m/s2)t2 j^. Object B has a position as a function of time given by r⃗ B(t) = (4.00 m/s)t i^ + (−1.00 m/s2)t2 j^. All quantities are SI units. What is the distance between object A and object B at time t = 4.00 s?