The velocity, in the x direction, is given by the formula: vx = -7 m/s2 t + 3 m/

Question

The velocity, in the x direction, is given by the formula: vx = -7 m/s2 t + 3 m/s (A) What is the velocity at t = 0 s? vx(0 s) = m/s (B) What is the velocity at t = 7 s? vx(7 s) = m/s The area under the velocity curve between two times is equal to the displacement (change in position) during that time interval. (C) What is the displacement between t = 0 s and t = 7 s? ?x = m The slope of the velocity vs time curve at a particular time is the acceleration at that time. (D) What is the acceleration at t = 3.5 s? ax(3.5 s) = m/s2

Explanation / Answer

given formula of velocity vx = -7 m/s2 t + 3 m/s

puting in this formula

a)
At t = 0 sec
Vx = 3 m/sec

b)
At t = 7 sec
Vx = -46 m/sec

c)
S = integration of (-7t + 3) from t = 0 to 7
S = 150.5 m

d)

d/dt (Vx)

d/dt(-7 t + 3)

= -7 m/s^2

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