Distance Traveled Formula

Distance travelled describes the path covered by an object in a particular span of time. It is the measure of the path taken by the object to travel from one point to another. The distance travelled by an object can be obtained by the product of the velocity of that object and the time taken by the object while travelling. In the case of speed, distance travelled is the product of speed and time. The SI unit of distance meters (m). The formula of distance travelled is as follows:

d = v*t

where,

d = distance traveled by the object,

v = velocity of the object,

t = time taken by the object to travel the distance

In some cases, when the speed of the object is given, velocity from the formula is replaced by speed. 

Sample Questions

Question 1: An object travels with the velocity of 5 m/s in 5 s, find the distance travelled by the object.

Answer:

Given: v = 5 m/s, t = 5 s

d = v*t

   = 5*5

d = 25 m

Thus, the distance travelled by the object in 5 s with a velocity of 5 m/s is 25 m.

Question 2: Determine the distance travelled by car if the speed is 500 cm/s and time taken is 10 s.

Answer:

Given: v = 500 cm/s, t = 10 s

d = v*t

  = 500*10

d = 5000 cm = 50 m

Thus, the distance traveled by the object is 50 m.

Question 3: Calculate the distance of a car travelling at a constant velocity of 30 m/s in 60 seconds.

Answer: 

First calculate the distance traveled using the formula above, where v = 30m/s and t = 60s.

d = v*t

d = 30m/s*60s

d = 1800m.

Question 4: Calculate the speed of an object that travels 100 meters uniformly in 20 seconds.

Answer: 

To calculate the velocity, we will use the above equation clearing v, where d = 100m and t = 20s.

d = v*t

v = d/t

v = 100m/20s

v = 5m/s.

Question 5: A loaded truck travels at the rate of 50 km per hour. Calculate the total time that the truck will take to travel 200 km?

Solution: 

Given parameters are:

Rate of the journey, r = 50 km/hr

Displacement, d = 200 km

Displacement d = r×t

Thus, the time taken will be given as:

t = d/r

  = 200/50

  = 4 hrs

Therefore time taken is 4 hours.

Question 6: Determine the winner if an athlete runs 250 m in 10 s time, while the other runs at 210 m in 7 s time. 

Solution: 

First athlete displacement = 250 m, and time taken = 10 s

Thus his rate of speed will be as per formula,

r1= 250/10

r1 = 25 m/s.

Displacement by the second athlete = 210 m and time taken = 7 s

Thus his rate of speed will be as per formula,

r2 = 210/7

r2 = 30 m/s.

Therefore, the 2nd athlete wins the race.