The equation of motion of a car is , where t is measured in hours and s is measured in kilometers. If the distance traveled by car is 15 km, find the velocity of the car
Step 1: Given Data:
Distance
The equation for the motion of the car,
Step 2: Formula used:
Velocity is the rate of change of displacement that is-
Step 3: Calculation of the velocity of the car:
The distance traveled by car is . Substitute the value of distance in equation to obtain the time taken to travel this distance.
can be neglected because time can't be negative. So
Differentiate equation with respect to time to get the velocity,
Substitute the value of in equation to compute the value of velocity.
Hence, option D is the correct answer.