The speed of a car increases uniformly from zero to 10ms^-1 in 2s and then remains constant (figure) a. Find the distance travelled by the car in the first two seconds. b. Find the distance travelled by the car in the next two seconds. c. Find the total distance travelled in 4s .

The speed-time graph for a car is shown is Figure (a) Find how far does the car travel in the first 4 seconds. Shade the area on the graph that represents the distance travelled by the car during this period. (b) Which part of the graph represents uniform motion of the car ?

d(t) = -16t^2+40t +24 A swimmer dives from a diving board that is 24 feet above the water. The distance, in feet, that the diver travels after t seconds have elapsed is given by the function above. What is the maximum height above the water, in feet, the swimmer reaches during the dive?

An harmonic wave has been set up on a very long string which travels along the length of the string. The wave has a frequency of 50 Hz, amplitude 1 cm and wavelength 0.5 m. find (a) the time taken by the wave to travel a distance of 8 m along the length of string (b) the time taken by a point on the string to travel a distance of 8 m, once the wave has reached the point and sets it into motion (c ) also. consider the above case when the amplitude gets doubled

(a) How does a centripetal force differ from a centrifugal force with reference to the direction in which they act? (b) Is centrifugal force the force of reaction of the centripetal force? ( c) compare the magnitudes of centripetal and centrifugal force.

A narrow slit S transmitting light of wavelength lamda is placed a distance d above a large plane mirror as shown in figure. The light coming directly from the slit and that coming after the reflection interference at a screen sum placed at a distance LD from the slit. a. What will be the intensity at a point just above the mirror. i.e., just above O? b. At what distance from O does the first maximum occur? ?

Take the mean distance of the moon and the sun from the earth to be 0.4 xx 10^(6) km and 150 xx 10^(6) km respectively. Their masses are 8 xx 10^(22) kg and 2 xx 10^(30) kg respectively. The radius of the earth of is 6400 km . Let DeltaF_(1) be the difference in the forces exerted by the moon at the nearest and farthest points on the earth and DeltaF_(2) be the difference in the force exerted b the sun at the nearest and farthest points on the earth. Then, the number closest to (DeltaF_(1))/(DeltaF_(2)) is :

Figure shoes the distance -time graph of three person A,B and C. (a)Which of the three travels the fastest? (b)Are the three persons ever at the same point on the road? ©how far has c travelled when B passes A? (d) how far has B travelled by the time it passes C?

A man of mass m moves on a plank of mass M with a constant veloicty u with respect to the plank, as shown in figure. a.If the plank rest on smooth horizontal surface, determine the velocity of the plank. b If the man travels a distasnce L with respect to the plank, find the distance travelled by the plank with respect to te ground.