A car starts from rest on a half kilometer bridge. The co-efficient of friction between the tyres and road is 1. Show that one can't drive through the bridge in less than 10 sec.

Show that a cylinder will slip over an inclined plane of inclination theta , if the co-efficient of static friction between the plane and the cylinder is less than 1/3 tantheta .

A car and a bus start from a place P at the same time and move non-stop towards a place where the distance between P and Q is 210 km. The car takes half an hour less than the bus to arrive Q. If the average speed of the car is 10 km/h more than that of the bus, find the average speed of the car and the bus.

In a meter bridge the resistance R and x, R being less than x. A balance point is obtained 40 cm from zero and on shunting the coil by 50Omega the balance point moves through 10cm. Calculate the value of R and x.

A particle experiences constant acceleration for 20 sec after starting from rest. If it travels a distance S_1 in first 10 sec. and distance S_2 in next 10 sec find the relation between S_1 and S_2 .