Answer:
Time, t = 50.8 seconds.
Explanation:
Given the following data;
Mass = 6000 kg
Force = 2950 N
Initial velocity = 4 m/s
Final velocity = 29 m/s
To find time;
First of all, we would determine the acceleration of the truck using the following formula;
Force = mass * acceleration
2950 = 6000 * acceleration
Acceleration = 2950/6000
Acceleration = 0.492 m/s²
Next, we find time using the first equation of motion;
[tex] V = U + at[/tex]
Where;
V is the final velocity.
U is the initial velocity.
a is the acceleration.
t is the time measured in seconds.
Making time, t the subject of formula, we have;
[tex] t = \frac{V - U}{a}[/tex]
Substituting into the equation, we have;
[tex] t = \frac{29 - 4}{0.492}[/tex]
[tex] t = \frac{25}{0.492}[/tex]
Time, t = 50.8 seconds.
