A car moves with constant velocity along a straight road. Its position is x₁ = 0 m at t₁ = 0s and is x₂ = 30 mat t₂ = 3.0 s. Answer the following by considering ratios, without computing the car's velocity. What is the car's position at t = 1.5 s?

Here are a couple acceleration problems.  Acceleration isn't necessarily constant. These problems will be pure math problems, meaning that we won't use units.   a(t) = dv/dt = 146 cos(4t) v(t) = dx/dt, v(0) = -3, and x(0) = -6 Calculate x(6).

The speed of an object as a function of time is given by the following equation: What is the magnitude of the object's acceleration (in m/s2) at t = 5 s? X 32

This graph shows an object’s velocity versus time as it is moving along the x-axis. Its initial position is x0 = 2.0 m at t0 = 0 seconds. At t = 2.0 seconds, what is the object’s position (in m)?

The acceleration of a particle is a constant. At t = 0 the velocity of the particle is (15.8î + 18.4ĵ) m/s.At  = 3.6 s the velocity is 10.5ĵ m/s. (Use the following as necessary: t. Do not include units in your answers.)   (b) How do the position (in m) and velocity (in m/s) vary with time? Assume the particle is initially at the origin.

v(t) = 4t3 + 10t m/s. The initial position is r = 3 m. 3. A one dimensional problem. Assume v = Determine the position and acceleration at time t = 3sec.

Shown below is a graph of velocity versus time for a moving object. The object starts at position x = 0 m at t = 0 s. What is the final position in meters, from t = 0 s to t = 2.0 s?   Your answer needs to have 3 significant figures, including the negative sign in your answer if needed. (No unit is needed in your answer, it is already given in the question statement.)