traveled
by the particle?
of
the particle over the time interval Delta t= 50.0 s 
?
of the
particle at t=10.0s 
? Answer
General guidance
The total distance travelled by the particle is,
Here, 
is the total distance travelled by the particle, 
is the final position of the particle and 
is the initial position of the particle.
The average velocity of the particle is,
Here, 
is the average velocity, and 
is the time taken by the particle.
Step-by-step
Step 1 of 3
(1)
The expression for the travelled distance is,
Substitute 
for
and 
for
The travelled distance by the particle is
.
The travelled distance by the particle is calculated by subtracting the initial position from the final position.
to calculate the travelled distance. It is incorrect because the correct relation for the distance is
.Step 2 of 3
(2)
The expression for the average velocity is,
Substitute 
for
, 50s for 
The average velocity for the particle is
.
The average velocity of the particle is calculated by substituting the total distance and time in the kinematics equation.
Step 3 of 3
(3)
The expression for the instantaneous velocity is,
Substitute 
for
.
The instantaneous velocity of the particle is 
The instantaneous velocity of the particle is equal to the average velocity as the particle is moving with a constant velocity.
Answer
The travelled distance by the particle is.
The average velocity for the particle is.
The instantaneous velocity of the particle is
Answer only
The travelled distance by the particle is.
The average velocity for the particle is.
The instantaneous velocity of the particle is