Acceleration = (change in speed) / (time for the change)
-- during the first second, the object increases its speed to
(5 m/s²) · (1 s) = 5 m/s .
-- During the next 2 seconds, the object increases its speed by
(2 m/s²) · ( s) = 4 m/s
So at the end of the whole 3 seconds, its speed is (5 m/s) + (4 m/s) = 9 m/s
-- Over the whole time, its speed has changed from zero to 9 m/s.
Acceleration = (change in speed) / (time for the change)
Acceleration = (9 m/s) / (3 sec)
<em>Acceleration = 3 m/s²</em>
Answer:
d. None of the above.
Explanation:
In a parabolic motion, you have that in the complete trajectory the component velocity is constant and the vertical component changes in time. Then, the total velocity vector is not zero.
In the complete trajectory the gravitational acceleration is always present. Then, the grasshopper's acceleration vector is not zero.
At the top of the arc the grasshopper is not at equilibrium because the gravitational force is constantly acting on the grasshopper.
Then, the correct answer is:
d. None of the above.
Answer:
Acceleration, 
Explanation:
Initial velocity of a particle in vector form, u = (-5i - 2j) m/s
Final velocity of particle in vector form, v = (-6i + 7j) m/s
Time taken, t = 8 seconds
We need to find the magnitude of acceleration vector. The changing of velocity w.r.t time is called acceleration of a particle. It is given by :

or

Hence, the value of acceleration vector is solved.