1. A trooper is moving due south along the freeway at a speed of o, a red 40 m/

Question

1. A trooper is moving due south along the freeway at a speed of o, a red 40 m/ car passes the trooper. The red car moves with constant velocity s southward. At the instant the trooper's car is passed, the troope the trooper constant rate of 1.5 m/s?. What is the maximum distance reached by the red car? begins to speed up at a that is ahead of the 2. A hydrogen z 5.25e + 1.50t n lon moves along the z axis of a bubble chamber according to where z is in meters and t is in seconds. (Express your answers i interval (a) What is its average velocity during the time t= 1.00 to 4.00 s? m/s (b) What is its average velocity during the time interval t = 4.00 to 6.50 s? m/s

Explanation / Answer

1)we know from eqn of motion

S = ut + 1/2 at^2

S = 29 t + 0.5 x 1.5 x t^2 = 29 t + 0.75 t^2

For the red car,

S' = 40 t

Distance between the cars

X = S' - S

X = 40 t - 29 t - 0.75 t^2 = 11t - 0.75 t^2

dX/dt = 11 - 1.5 t

t = 11/1.5 = 7.33 s ; for max distance

v = d/t => d = vt

S' = 40 t = 40 x 7.33 = 293.2 m/s

S = 29 x 7.33 - 0.75 x 7.33^2 = 172.3 m

X = 293.2 - 172.3 = 120.9 m

Hence, X = 120.9 m = 121 m

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