A car moving with a certain velocity jumps form an inclined plane placed at one bank of a river and reaches the other bank by attained a maximum height of 80 m if the same car moving with the same velocity jumps from another inclinded plane having different angle of inclination and reaches the same point on the other bank by attaining maxmimum height of 45 m then the width of the river is

Options

A. 80 m
B. 60 m
C. 125 m
D. 240 m

Answer

D

Explanation

(d ) Given the maximum height reached by the car jumps from an inclined plane placed at one back of river is `H_(1) =80 m`
The second maximum height reached by car jumps from another inclined plane placed at other bank is `H_(2) =45 m`
Let the certain velocity of moving car =u Let the inclination angle in first jump = `theta_(1)`
Let the inclination angle in second jumps `= theta_(2)`
We know that
the maximum height of projectlle given as
`H= (u^(2) sin theta)/( 2g )`