CALC Cars A and B travel in a straight line. The distance of A from the starting point is given as a function of time by x A ( t ) = αt + βt 2 , with α = 2.60 m/s and β = 1.20 m/s 2 . The distance of B from the starling point is x B ( t ) = γt 2 − δt 2 , With γ = 2.80 m/s 2 and δ = 0.20 m/s 3 . (a) Which car is ahead just after the two cars leave the starting point? (b) At what lime(s) are the cars at the same point? (c) At what time(s) is the distance from A to B neither increasing nor decreasing? (d) At what time(s) do A and B have the same acceleration?
CALC Cars A and B travel in a straight line. The distance of A from the starting point is given as a function of time by x A ( t ) = αt + βt 2 , with α = 2.60 m/s and β = 1.20 m/s 2 . The distance of B from the starling point is x B ( t ) = γt 2 − δt 2 , With γ = 2.80 m/s 2 and δ = 0.20 m/s 3 . (a) Which car is ahead just after the two cars leave the starting point? (b) At what lime(s) are the cars at the same point? (c) At what time(s) is the distance from A to B neither increasing nor decreasing? (d) At what time(s) do A and B have the same acceleration?
CALC Cars A and B travel in a straight line. The distance of A from the starting point is given as a function of time by xA(t) = αt +βt2, with α = 2.60 m/s and β = 1.20 m/s2. The distance of B from the starling point is xB(t) = γt2 − δt2, With γ = 2.80 m/s2 and δ = 0.20 m/s3. (a) Which car is ahead just after the two cars leave the starting point? (b) At what lime(s) are the cars at the same point? (c) At what time(s) is the distance from A to B neither increasing nor decreasing? (d) At what time(s) do A and B have the same acceleration?
At an air show, a jet plane has velocity components vx= 695km/h and v y =415km/h at time 4.35 s and v x =938km/h and V y =365km/h at time 7.52s.
A)For this time interval, find the xxx component of the plane's average acceleration.
b)For this time interval, find the yyy component of the plane's average acceleration.
C)For this time interval, find the magnitude of its average acceleration.
D)For this time interval, find the direction of its average acceleration.
A particle moves along the x axis according to the equation x=2.00 + 3.00t - 1.00t², where x is in meters and t is in seconds. At t=3.00s, find (a) the position of the particle, (b) its velocity, and (c) its acceleration.
A cheetah is squatted 25m to the east of a vehicle. At time t = 0 the cheetah begins to run due east toward an antelope that is 55m to the east of the vehicle. During the first 2.0 s of the chase,the cheetah’s x-coordinate varies with time according to the equationx = 25m + (4.5m/s2)t2. (a) Find the cheetah’s displacement between t1= 1.5s and t2= 3.0 s. (b) Find its average velocity during that interval. (c) Find its instantaneous velocity at t= 2.5s by taking Δt = 0.15s.
Chapter 2 Solutions
University Physics, Volume 2 - Technology Update Custom Edition for Texas A&M - College Station, 2/e
Physics for Scientists and Engineers: A Strategic Approach, Vol. 1 (Chs 1-21) (4th Edition)
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