A woman starts from her home at 9.00 am, walks with a speed of `5 km h^-1` on a straight road up to her office 2.5 km away, stays at the office up to 5.00 pm, and returns home by an auto with a speed of `25 km h^-1`.Choose suitable scales and plot the x-t graph of her motion.

A man walks on a straight road from his home to a market 2.5 km away with a speed of 5 km h^-1 . Finding the market closed, he instantly turns and walks back home with a speed of 7.5 km h^-1 . What is the :- magnitude of average velocity, and

A man of height 2m walks at a uniform speed of 5km/h away from a lamp post which is 6m high. Find the rate at which the length of his shadow increases.

A girl drove to a hospital from her home and noted the odometer reading of her car increased by 12 km. The trip took 18 min. If she returned home by the same path 7h 30 min after she left, what was her average speed and velocity for the entire tip?

A racing car accelerates uniformly on a straight road from rest to a speed of 180 km h^(-1) in 25 sec.Find the total distance covered by the car in this time.

A girl riding a bicycle along a straight road with a speed of 5 ms^-1 throws a stone of mass 0.5 kg which has a speed of 15 ms^-1 with respect to the ground along her direction of motion. The mass of the girl and bicyle is 50 kg. Does the speed of the bicycle change after the stone is thrown? What is the change in speed, if so?

A bus decrease its speed from 80 km h^(-1) to 60 km h^(-1) in 5 sec. Find acceleration of the bus.