Question

A truck starts from rest and is moving on a flat road with constant acceleration. it travels a distance of 900m in 30sec. Find its acceleration. Find the force acting on it its mass is 1000kg.

Answer 1

★ Given :-

• Distance travelled = 900m
• Time taken to travell = 30s
• Mass of truck = 1000 kg

★ We need to find :-

• Acceleration = ?
• Force = ?

★ Solution :-

Firstly finding acceleration using third equation of motion.

S = ut + ½ at²

Where ,

• S → distance travelled = 900 m
• u → initial velocity = 0 m/s
• a → acceleration = ?
• t → time taken = 30s

• Note :- Here , the initial velocity of the truck will be zero because the the truck is starting from rest .

Substituting the values we have ,

⇒ 900 = 30(u) + ½ × ( a ) × (30)²

⇒ 900 = 30(0) + ½ × a × 900

⇒ 900 = 0 + 450a

⇒ 900 = 450a

⇒ a = 900 ÷ 450

⇒ Acceleration = 2 m/s²

Now , finding force

F = m × a

Where ,

• F → Force = ?
• m → mass = 1000 kg
• a → acceleration = 2 m/s²

Substituting the values we have ,

➠ F = 1000 × 2

➠ Force = 2000 N or 2 × 10³N

∴ Hence , force = 2 × 10³N & acceleration = 2 m/s²