A bus is beginning to move with aceleratino of `1 ms^-2`. A man wo wants to board it can run at `9 ms^-1` . Show that he3 can catch it in 8 sec., if he is 40 m behind when it starts.

A bus starting from rest moves with a uniform acceleration of 0.1 ms^-2 for two minutes. The distance travelled.

A bus starting from rest moves with a uniform acceleration of 0.1 ms^-2 for two minutes. Find: the speed acquired.

A horse runs along a circle with a speed of 20k m//h . A lantern is at the centre of the circle. A fence is along the tangent to the circle at the point at which the horse starts. Find the speed with which the shadow of the horse moves along the fence at the moment when it covers 1/8 of the circle in km/h.

A boy standing on a stationary lift (open from above) throws a ball upwards with the maximum initial speed he can, equal to 49 m s^-1 . How much time does the ball take to return to his hands? If the lift starts moving up with a uniform speed of 5 m s^-1 and the boy again throws the ball up with the maximum speed he can, how long does the ball take to return to his hands ?

Figure 5.18 shows a man standing stationary with respect to a horizontal conveyor belt that is accelerating with 1 m s^-2 . What is the net force on the man? If the coefficient of static friction between the man’s shoes and the belt is 0.2, up to what acceleration of the belt can the man continue to be stationary relative to the belt ? (Mass of the man = 65 kg.)

A motor car is fitted with a convex driving mirror of focal length 20 cm. A second motor car 2 m board and 1.6 m high is 6 m away from the first car. If the second car is overtaking at a relative speed of 14ms^-1 , how fast will the image be moving and in what direction?

A truck is pulling a car out of a ditch by means of a steel cable that is 9.1 m long and has a radius of 5 mm. When the car just begins to move, the tension in the cable is 800 N. How much has the cble streched ? (Young's modulus for steel is 2xx 10^11 N m^-2) .

A man is moving away from a tower 41.6 m high at the rate of 2 m/sec. Find the rate at which the angle of elevation of the top of tower is changing, when he is at a distance of 30m from the foot of the tower. Assume that the eye level of the man is 1.6m from the ground.