Given:-acceleration =4.5 m/s2, time=35 s, initial velocity = 0, calculate distance. *
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Answers
this is the answer for this question
Explanation:
Acceleration
Learning Objectives
By the end of this section, you will be able to:
Derive the kinematic equations for constant acceleration using integral calculus.
Use the integral formulation of the kinematic equations in analyzing motion.
Find the 2};\]
so, C2 = x0. Substituting back into the equation for x(t), we finally have
\[x(t)={x}_{0}+{v}_{0}t+\frac{1}{2}a{t}^{2},\]
which is (Equation).
Example
Motion of a Motorboat
A motorboat is traveling at a constant velocity of 5.0 m/s when it starts to decelerate to arrive at the dock. Its acceleration is
\[a(t)=-\frac{1}{4}t\,\text{m/}{\text{s}}^{2}\]
. (a) What is the velocity function of the motorboat? (b) At what time does the velocity reach zero? (c) What is the position function of the motorboat? (d) What is the displacement of the motorboat