# Question #72a0e

##### 1 Answer

Sep 12, 2016

- Initial velocity
#=u_1#

Acceleration#a_1=2ms^-2#

Time of travel#t_1=8s#

Distance covered#=s#

Kinematic equations for car 1

#s=u_1t_1+1/2a_1t_1^2#

Inserting given values we have

#s=u_1xx8+1/2xx 2xx8^2#

#=>s=8u_1+64# .....(1) - Initial velocity
#=u_2#

Acceleration#a_2=9.5ms^-2#

Time of travel#t_1=4s#

Distance covered#=s# , as both cover the same distance.

Kinematic equations for car 2

#s=u_2t_2+1/2a_2t_2^2#

Inserting given values we have

#s=u_2xx4+1/2xx 9.5xx4^2#

#=>s=4u_2+76# .......(2)

Equating RHS of (1) with RHS of (2)

Three situations arise:

(a)

We get

From (a) itself we infer that solution exists even if

As such the stated condition which is required to be proved is false.

(b)

From (3) we have

(c)

from equation (3) we have