A truck moves with a constant acceleration and covers a distance between two points 180 apart in 10 seconds. The velocity as it passes the second point is 30 m/s. Whats the acceleration of the truck ? whats the velocity in the first point ?
To find the acceleration of the truck, we can use the equation of motion:
v = u + at
where:
v = final velocity
u = initial velocity
a = acceleration
t = time
Given that the truck covers a distance of 180 meters in 10 seconds, and its velocity at the second point is 30 m/s, we can use the equation of motion to find the acceleration of the truck.
Step 1: Calculate the acceleration
v = u + at
30 m/s = u + a * 10 s
Since the truck moves with constant acceleration, we know that the velocity at the second point is given by:
v = u + at
30 m/s = u + a * 10 s
Step 2: Calculate the initial velocity
To find the initial velocity, u, we can use the equation of motion again. Since the truck started from rest at the first point, the initial velocity, u, would be 0 m/s.
v = u + at
30 m/s = 0 m/s + a * 10 s
Simplifying this equation, we get:
30 m/s = 10 a
Step 3: Solve for acceleration, a
Dividing both sides of the equation by 10, we get:
a = 30 m/s / 10 s
a = 3 m/s²
The acceleration of the truck is 3 m/s².
Step 4: Calculate the velocity at the first point
To find the velocity at the first point, we can use the equation of motion again.
v = u + at
v = 0 m/s + 3 m/s² * 10 s
v = 30 m/s
The velocity of the truck at the first point is 30 m/s.
Therefore, the acceleration of the truck is 3 m/s² and the velocity at the first point is 30 m/s.