Motion in A Str...

A car is moving with speed $$27km/h$$. The driver applied brakes as he approaches a circular turn on the road of radius $$80m$$ and his speed reduces at the constant rate of $$0.50m/s$$ every second. The magnitude of net acceleration is

A body starts from rest and moves with constant acceleration for t s. It travels a distance $$x_1$$ in first half of time and $$x_2$$ in next half of time, then

A body covers a distance of 4 m in $$3^{rd}$$ second and 12 m in $$5^{th}$$ second. If the motion is uniformly accelerated, how far will it travel in the next 3 seconds?

 Two bodies begin a free fall from the same height at a time interval of $$N$$ seconds. If vertical separation between the two bodies is $$1$$ m after n seconds from the start of the first body, then n is equal to

Which of the following statements is incorrect ?

A body $$A$$ starts from rest with an acceleration $$a_1$$. After $$2$$ seconds, another body $$B$$ starts from rest with an acceleration $$a_2$$. If they travel equal distances in the $$5^{th}$$ second, after the start of $$A$$, then the ratio $$a_1$$ : $$a_2$$ is equal to

An aircraft is flying at a height of $$3400 \,m$$ above the ground. If the angle subtended at a ground observation point by the aircraft positions $$10 \,s$$ apart is $$30^o$$, then the speed of the aircraft is:

A lift is coming from $$8^{th}$$ floor and is just about to reach $$4^{th}$$ floor. Taking ground floor as origin and positive direction upwards for all quantities, which one of the following is correct?

On a long horizontally moving belt, a child runs to and fro with a speed 9 km $$h^{-1}$$ (with respect to the belt) between his father and mother located 50 m apart on the moving belt. The belt moves with a speed of 4 km $$h^{-1}$$. For an observer on a stationary platform, the speed of the child running in the direction of motion of the belt is

A tall cylinder is filled with viscous oil. A round pebble is dropped from the top with zero initial velocity. From the plots shown in figure, indicate the one that represents the velocity ($$v$$) of the pebble as a function of time ($$t$$).